Questions on Algebra: Conic sections - ellipse, parabola, hyperbola answered by real tutors!

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Question 167819: Can I get some help with this problem as well? I posted it the other day and did not get a response. Thanks in advance.
Find an equation of the hyperbola centered at the origin with vertice at
( 0, 3 ) and focus at (0,5).
: Can I get some help with this problem as well? I posted it the other day and did not get a response. Thanks in advance.
Find an equation of the hyperbola centered at the origin with vertice at
( 0, 3 ) and focus at (0,5).

Click here to see answer by midwood_trail(221) About Me 

Question 167683: A graph doesn't need to come with this one, but one does need to put it into a quadratic model for each set of values.
(-4,1) (0,9) (1,16)
: A graph doesn't need to come with this one, but one does need to put it into a quadratic model for each set of values.
(-4,1) (0,9) (1,16)

Click here to see answer by Alan3354(1178) About Me 

Question 167684: A toy rocket is shot upward from ground level. The values show the height of the rocket at different times.
x = time (seconds)
f(x) = height (feet)
Values = (0,0) (1,256) (2,480) (3,672) (4,832)
: A toy rocket is shot upward from ground level. The values show the height of the rocket at different times.
x = time (seconds)
f(x) = height (feet)
Values = (0,0) (1,256) (2,480) (3,672) (4,832)

Click here to see answer by stanbon(18725) About Me 

Question 166883: PLEASE HELP!!!
Write an equation for the parabola with focus (4,0) and directrix y=2
I must show my work.
Thanks
: PLEASE HELP!!!
Write an equation for the parabola with focus (4,0) and directrix y=2
I must show my work.
Thanks

Click here to see answer by scott8148(2719) About Me 

Question 166890: if y=2x(squared)+6x+1 what are the coeffecients, what is the vertex of the parabola, what is the axis of symmetry, what is the y-intercept, and if it is reflected across the y-intercept across the axis of symmetry x=_____, x=______

pleas help i'm in jeapordy of failing. contact me- for subject put alg 2
o and we do nnot use a textbook to do work.
: if y=2x(squared)+6x+1 what are the coeffecients, what is the vertex of the parabola, what is the axis of symmetry, what is the y-intercept, and if it is reflected across the y-intercept across the axis of symmetry x=_____, x=______

pleas help i'm in jeapordy of failing. contact me- for subject put alg 2
o and we do nnot use a textbook to do work.

Click here to see answer by MRperkins(74) About Me 

Question 166195: I need help.
What is the equation of the ellipse with foci at (0,4) and (0,4) and the sum of its focal radii being 10?
2a=10 so a=5 center is at (0,0)
could the answer be x^2 + y^2 = 16 ????
: I need help.
What is the equation of the ellipse with foci at (0,4) and (0,4) and the sum of its focal radii being 10?
2a=10 so a=5 center is at (0,0)
could the answer be x^2 + y^2 = 16 ????

Click here to see answer by Mathtut(308) About Me 

Question 166083: What is the equation for the parabola with focus (-2,-2) and directrix y=4?
: What is the equation for the parabola with focus (-2,-2) and directrix y=4?

Click here to see answer by gonzo(428) About Me 
Question 166083: What is the equation for the parabola with focus (-2,-2) and directrix y=4?
: What is the equation for the parabola with focus (-2,-2) and directrix y=4?

Click here to see answer by midwood_trail(221) About Me 

Question 166194: I submitted this question a couple of weeks ago, but I never received a response. Can anybody help me out?
What is the equation of a parabola with vertex (0,0) and focus (0,4)?
THanks alot!
: I submitted this question a couple of weeks ago, but I never received a response. Can anybody help me out?
What is the equation of a parabola with vertex (0,0) and focus (0,4)?
THanks alot!

Click here to see answer by Fombitz(1740) About Me 

Question 166176: Can anybody tell me if I have identified these correctly? I'm not sure.
Thanks!!!
a) (x-3)^2/9 + (y-2)^2/4 = 1 ellipse
b) (x+2)^2/25 - (y-1)^2/9 = 1 hyperbola
c) x^2 + 4x = y - 4 parabola
d) (x + 2)^2 + (y-3)^2 = 49 circle
e) (x + 1)^2/25 + (y - 2)^2/25=1 circle ????
f) xy = 3 line or point ??????
: Can anybody tell me if I have identified these correctly? I'm not sure.
Thanks!!!
a) (x-3)^2/9 + (y-2)^2/4 = 1 ellipse
b) (x+2)^2/25 - (y-1)^2/9 = 1 hyperbola
c) x^2 + 4x = y - 4 parabola
d) (x + 2)^2 + (y-3)^2 = 49 circle
e) (x + 1)^2/25 + (y - 2)^2/25=1 circle ????
f) xy = 3 line or point ??????

Click here to see answer by Fombitz(1740) About Me 

Question 166028: can someone please help me with this problem:
Determine the vertex of the parabola.
y = -3(x-3)^2 + 2
a. (-2,-3)
b. (2,3)
c. (-3,2)
d. (3,2)
: can someone please help me with this problem:
Determine the vertex of the parabola.
y = -3(x-3)^2 + 2
a. (-2,-3)
b. (2,3)
c. (-3,2)
d. (3,2)

Click here to see answer by 100076561(1) About Me 

Question 165719This question is from textbook College Algebra
: What are the steps to the following problem,
Instructions: "Write an equation for each ellipse"
Problem: minor axis with length 4: foci at (-5,0),(5,0)
Please Help I cannot seem to figure this one out.
Thank You
This question is from textbook College Algebra
: What are the steps to the following problem,
Instructions: "Write an equation for each ellipse"
Problem: minor axis with length 4: foci at (-5,0),(5,0)
Please Help I cannot seem to figure this one out.
Thank You

Click here to see answer by Fombitz(1740) About Me 

Question 165604: Write the equation of a parabola that:
A. has x=3 as its axis of symmetry and passes through the points (2,5) & (-1,-25).
B. passes through the points (-3,2), (-2,8), and (1,2).
PLEASE show any graphical or algebraic support needed to provide the solution!!!
: Write the equation of a parabola that:
A. has x=3 as its axis of symmetry and passes through the points (2,5) & (-1,-25).
B. passes through the points (-3,2), (-2,8), and (1,2).
PLEASE show any graphical or algebraic support needed to provide the solution!!!

Click here to see answer by scott8148(2719) About Me 

Question 165056: Sketch the graph:
y2 x2
-- - -- = 1
25 4
: Sketch the graph:
y2 x2
-- - -- = 1
25 4

Click here to see answer by edjones(2391) About Me 

Question 165014This question is from textbook
:
Find center and radius of the circle x^2 + y^2 - 10x + 2y + 25 = 0.
Let me know if the following below is done wrong. help is appreciated.
x^2 + y^2 - 10x + 2y = -25
(x^2 - 10x)-(y^2 + 2y)= -25
( x^2 -10x -10) -(y^2 + 2y + 1)= -1 - 10 + 1
(x - 2)^5 -(y + 1)^2 = -10
The center is (2,-1); the radius is -2.


This question is from textbook
:
Find center and radius of the circle x^2 + y^2 - 10x + 2y + 25 = 0.
Let me know if the following below is done wrong. help is appreciated.
x^2 + y^2 - 10x + 2y = -25
(x^2 - 10x)-(y^2 + 2y)= -25
( x^2 -10x -10) -(y^2 + 2y + 1)= -1 - 10 + 1
(x - 2)^5 -(y + 1)^2 = -10
The center is (2,-1); the radius is -2.



Click here to see answer by Alan3354(1178) About Me 

Question 165035This question is from textbook
: f(x)= -2x^2 + 6x - 1
Find the vertex and the axis of symmetry and points.
many thanks!
This question is from textbook
: f(x)= -2x^2 + 6x - 1
Find the vertex and the axis of symmetry and points.
many thanks!

Click here to see answer by checkley77(3380) About Me 

Question 164879: Please help with the following problem. Consider the function f(x)=x^2+6x-2. Find h, the x-coordinate of the vertex of this parabola.: Please help with the following problem. Consider the function f(x)=x^2+6x-2. Find h, the x-coordinate of the vertex of this parabola.
Click here to see answer by KnightOwlTutor(215) About Me 
Question 164879: Please help with the following problem. Consider the function f(x)=x^2+6x-2. Find h, the x-coordinate of the vertex of this parabola.: Please help with the following problem. Consider the function f(x)=x^2+6x-2. Find h, the x-coordinate of the vertex of this parabola.
Click here to see answer by jim_thompson5910(9162) About Me 

Question 164752: Since parabolas are symmetrical, how could you find the axis of symmetry using the x-intercepts?: Since parabolas are symmetrical, how could you find the axis of symmetry using the x-intercepts?
Click here to see answer by scott8148(2719) About Me 

Question 163079: I'm having some trouble with this :
What is the equation of a parabola with vertex (0,0) and focus (0,4)
I think it needs to be ax^2 + bx + c = 0 But I'm lost!!! Can anybody get me started???
: I'm having some trouble with this :
What is the equation of a parabola with vertex (0,0) and focus (0,4)
I think it needs to be ax^2 + bx + c = 0 But I'm lost!!! Can anybody get me started???

Click here to see answer by Fombitz(1740) About Me 

Question 162750: What is the center of the hyperbola whose equation is [(x+3)^2 / 9] - [(y-3)^2 / 16] = 1?
I know the fomula would be (x-h)^2 / a^2 - (y-k)^2 / b^2 = 1.
Would the answer be(-3,3)? I would love to know the correct answer. Thank you so much for your help!
: What is the center of the hyperbola whose equation is [(x+3)^2 / 9] - [(y-3)^2 / 16] = 1?
I know the fomula would be (x-h)^2 / a^2 - (y-k)^2 / b^2 = 1.
Would the answer be(-3,3)? I would love to know the correct answer. Thank you so much for your help!

Click here to see answer by nerdybill(1040) About Me 

Question 162555: 14. What is the standard equation of the circle whose center is (-5,-4) and whose radius is 3?
(x-h)^2 + (y-k)^2 = r^2.
(x-5)^2+(y-4)^2=3^2
I know this problem has sign errors, but i cant see what it is that Im doing wrong. If someone could tell me where my mistake is at, I would really apperciate it :). Thank you.
: 14. What is the standard equation of the circle whose center is (-5,-4) and whose radius is 3?
(x-h)^2 + (y-k)^2 = r^2.
(x-5)^2+(y-4)^2=3^2
I know this problem has sign errors, but i cant see what it is that Im doing wrong. If someone could tell me where my mistake is at, I would really apperciate it :). Thank you.

Click here to see answer by checkley77(3380) About Me 

Question 162556: 15. What are the center and radius of the circle whose equation is x^2 + (y-3)^2 = 144?
(x-h)^2 + (y-k)^2 = r^2.
(x-0)^2+(y-3)^2=12^2
(0,-3)
r=12
I know this is incorrect, but I cant find where my mistake is at. If someone could point it out, I would realy apperciate it. Thank you so much.
: 15. What are the center and radius of the circle whose equation is x^2 + (y-3)^2 = 144?
(x-h)^2 + (y-k)^2 = r^2.
(x-0)^2+(y-3)^2=12^2
(0,-3)
r=12
I know this is incorrect, but I cant find where my mistake is at. If someone could point it out, I would realy apperciate it. Thank you so much.

Click here to see answer by checkley77(3380) About Me 

Question 162448: Identify the following conic. Is it a circle, parabola, hyperbola, or ellipse. Show why.
x^2 - 4y^2 - 4x - 24y =48
I don't think it's a circle. I've tried completing the square but I don't get an answer that looks right. Please help!!!
: Identify the following conic. Is it a circle, parabola, hyperbola, or ellipse. Show why.
x^2 - 4y^2 - 4x - 24y =48
I don't think it's a circle. I've tried completing the square but I don't get an answer that looks right. Please help!!!

Click here to see answer by KnightOwlTutor(215) About Me 

Question 162360: Classify the conic section of each equation.
13. 4x^2 + 3x = y^2 + 2y + 7
I know i need to make it look like...
4x^2 + 3x-y^2 - 2y - 7=0
but im not sure where to go next? Thank you for any help you may have!
: Classify the conic section of each equation.
13. 4x^2 + 3x = y^2 + 2y + 7
I know i need to make it look like...
4x^2 + 3x-y^2 - 2y - 7=0
but im not sure where to go next? Thank you for any help you may have!

Click here to see answer by scott8148(2719) About Me 

Question 162358: Classify the conic section of each equation
12. x^2 + 3y^2 = 3

I think this may be a parabola or an ellipse,but im not for sure, and i would love to see the way inwhich you can figure this out. Thank you so much!
: Classify the conic section of each equation
12. x^2 + 3y^2 = 3

I think this may be a parabola or an ellipse,but im not for sure, and i would love to see the way inwhich you can figure this out. Thank you so much!

Click here to see answer by scott8148(2719) About Me 

Question 162322: Classify the conic section of each equation.
10. 25x^2 - 9y^2 = 144
I think this may be a circle? But im not for sure and I would love to see the correct steps to finding the answer, i know to rewrite x as x-0 and y as y-0, and i know that 144 is also 12^2,but im not sure where to begin. Thank you!
: Classify the conic section of each equation.
10. 25x^2 - 9y^2 = 144
I think this may be a circle? But im not for sure and I would love to see the correct steps to finding the answer, i know to rewrite x as x-0 and y as y-0, and i know that 144 is also 12^2,but im not sure where to begin. Thank you!

Click here to see answer by Fombitz(1740) About Me 
Question 162322: Classify the conic section of each equation.
10. 25x^2 - 9y^2 = 144
I think this may be a circle? But im not for sure and I would love to see the correct steps to finding the answer, i know to rewrite x as x-0 and y as y-0, and i know that 144 is also 12^2,but im not sure where to begin. Thank you!
: Classify the conic section of each equation.
10. 25x^2 - 9y^2 = 144
I think this may be a circle? But im not for sure and I would love to see the correct steps to finding the answer, i know to rewrite x as x-0 and y as y-0, and i know that 144 is also 12^2,but im not sure where to begin. Thank you!

Click here to see answer by Alan3354(1178) About Me 

Question 162323: What is the eccentricity of the ellipse whose equation is [(x^2) / 25] +[(y-3)^2 / 9] = 1?
I do know to use e=c/a to help find the correct answer, but I have no clue where to start. I appericiate all you help!
: What is the eccentricity of the ellipse whose equation is [(x^2) / 25] +[(y-3)^2 / 9] = 1?
I do know to use e=c/a to help find the correct answer, but I have no clue where to start. I appericiate all you help!

Click here to see answer by Fombitz(1740) About Me 

Question 162321: Calculate the area of the triangle with the following vertices:
(0,-9), (3,-9), and (0,-2)
I believe the answer is 10.5 sq ft. I just want to know if that is correct, if so i know i have done it correctly.If not, I'd like to see the correct steps so i know what i did wrong. Thank you so much!
: Calculate the area of the triangle with the following vertices:
(0,-9), (3,-9), and (0,-2)
I believe the answer is 10.5 sq ft. I just want to know if that is correct, if so i know i have done it correctly.If not, I'd like to see the correct steps so i know what i did wrong. Thank you so much!

Click here to see answer by checkley77(3380) About Me 

Question 162123: graph each function.
y=2xsquared+4x-3
: graph each function.
y=2xsquared+4x-3

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Question 162124: y=3xsquared-12x-4: y=3xsquared-12x-4
Click here to see answer by checkley77(3380) About Me 

Question 162129: graph each equation
y=5xsquared-3

\
: graph each equation
y=5xsquared-3

\

Click here to see answer by checkley77(3380) About Me 

Question 162033: 20. Classify the conic section of the equation 9x^2 - 3 = 18x + 4y.
A hyperbola
B circle
C ellipse
D line
E Graph is not a conic section.
F parabola
I'm not sure where to start, I really would apperciate your help with how to solve this to come to the correct answer. Thank you so much!
: 20. Classify the conic section of the equation 9x^2 - 3 = 18x + 4y.
A hyperbola
B circle
C ellipse
D line
E Graph is not a conic section.
F parabola
I'm not sure where to start, I really would apperciate your help with how to solve this to come to the correct answer. Thank you so much!

Click here to see answer by jim_thompson5910(9162) About Me 

Question 162030: 18. Classify the conic section of the equation x^2 + 2x + y^2 + 6y = 15.
A circle
B ellipse
C hyperbola
D parabola
E point
F line

I'm not sure how I go about classifying this. I appericiate any help you have to offer. Thank you!
: 18. Classify the conic section of the equation x^2 + 2x + y^2 + 6y = 15.
A circle
B ellipse
C hyperbola
D parabola
E point
F line

I'm not sure how I go about classifying this. I appericiate any help you have to offer. Thank you!

Click here to see answer by jim_thompson5910(9162) About Me 

Question 162020: 11. What is the center of the ellipse whose equation is (x^2)/25 + (y^2)/4 = 1?
A (25,1)
B (5,1)
C (4,25)
D (4,1)
E (0,0)
F (5,2)

(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1 I tried to used this equation to help, but im really stuck. I appericaite any help you can offer. Thank you!
: 11. What is the center of the ellipse whose equation is (x^2)/25 + (y^2)/4 = 1?
A (25,1)
B (5,1)
C (4,25)
D (4,1)
E (0,0)
F (5,2)

(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1 I tried to used this equation to help, but im really stuck. I appericaite any help you can offer. Thank you!

Click here to see answer by jim_thompson5910(9162) About Me 
Question 162020: 11. What is the center of the ellipse whose equation is (x^2)/25 + (y^2)/4 = 1?
A (25,1)
B (5,1)
C (4,25)
D (4,1)
E (0,0)
F (5,2)

(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1 I tried to used this equation to help, but im really stuck. I appericaite any help you can offer. Thank you!
: 11. What is the center of the ellipse whose equation is (x^2)/25 + (y^2)/4 = 1?
A (25,1)
B (5,1)
C (4,25)
D (4,1)
E (0,0)
F (5,2)

(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1 I tried to used this equation to help, but im really stuck. I appericaite any help you can offer. Thank you!

Click here to see answer by scott8148(2719) About Me 

Question 162018: 7. What is the standard equation of the circle with radius 5, and center (-5,-1)?
A (x-5)^2 + (y-1)^2 = 25
B (x+5)^2 + (y+1)^2 = 25
C (x+5)^2 + (y+5)^2 = 5
D A circle cannot have a center at (-5,-1).
E (x-5)^2 - (y-1)^2 = 25
F (x+5)^2 - (y+1)^2 = 25

I used the formula for a circle and plugged the information in, and I got F for the right answer. But choice D is confusing me and i wanted to make sure F really is correct. Thank you!
: 7. What is the standard equation of the circle with radius 5, and center (-5,-1)?
A (x-5)^2 + (y-1)^2 = 25
B (x+5)^2 + (y+1)^2 = 25
C (x+5)^2 + (y+5)^2 = 5
D A circle cannot have a center at (-5,-1).
E (x-5)^2 - (y-1)^2 = 25
F (x+5)^2 - (y+1)^2 = 25

I used the formula for a circle and plugged the information in, and I got F for the right answer. But choice D is confusing me and i wanted to make sure F really is correct. Thank you!

Click here to see answer by scott8148(2719) About Me 
Question 162018: 7. What is the standard equation of the circle with radius 5, and center (-5,-1)?
A (x-5)^2 + (y-1)^2 = 25
B (x+5)^2 + (y+1)^2 = 25
C (x+5)^2 + (y+5)^2 = 5
D A circle cannot have a center at (-5,-1).
E (x-5)^2 - (y-1)^2 = 25
F (x+5)^2 - (y+1)^2 = 25

I used the formula for a circle and plugged the information in, and I got F for the right answer. But choice D is confusing me and i wanted to make sure F really is correct. Thank you!
: 7. What is the standard equation of the circle with radius 5, and center (-5,-1)?
A (x-5)^2 + (y-1)^2 = 25
B (x+5)^2 + (y+1)^2 = 25
C (x+5)^2 + (y+5)^2 = 5
D A circle cannot have a center at (-5,-1).
E (x-5)^2 - (y-1)^2 = 25
F (x+5)^2 - (y+1)^2 = 25

I used the formula for a circle and plugged the information in, and I got F for the right answer. But choice D is confusing me and i wanted to make sure F really is correct. Thank you!

Click here to see answer by jim_thompson5910(9162) About Me 

Question 161954: Classify the conic section:
1. x^2 + y^2 = 36
A point
B ellipse
C circle
D hyperbola
E parabol
F line
I think the answer is b,but i just want to make sure thats right? Thank you for your help!
: Classify the conic section:
1. x^2 + y^2 = 36
A point
B ellipse
C circle
D hyperbola
E parabol
F line
I think the answer is b,but i just want to make sure thats right? Thank you for your help!

Click here to see answer by jim_thompson5910(9162) About Me 

Question 161955: Classify the conic section:
x^2 - y^2 = 36
A circle
B hyperbola
C parabola
D point
E line
F ellipse

I think the answer is b,but i just want to make sure thats right? Thank you for your help!
: Classify the conic section:
x^2 - y^2 = 36
A circle
B hyperbola
C parabola
D point
E line
F ellipse

I think the answer is b,but i just want to make sure thats right? Thank you for your help!

Click here to see answer by jim_thompson5910(9162) About Me 

Question 161956: Classify the conic section
5x^2 + 9y^2 = 45
A line
B point
C circle
D parabola
E ellipse
F hyperbola

I believe the answer is E. But I am not 100% sure, and Id love to know if that is correct, and if not, what is? Thank you so much for your time.
: Classify the conic section
5x^2 + 9y^2 = 45
A line
B point
C circle
D parabola
E ellipse
F hyperbola

I believe the answer is E. But I am not 100% sure, and Id love to know if that is correct, and if not, what is? Thank you so much for your time.

Click here to see answer by jim_thompson5910(9162) About Me 

Question 161957: Classify the conic section
x^2 + y^2 = 121
A hyperbola
B ellipse
C point
D circle
E parabola
F line

I believe the answer is B. But I am not 100% sure, and Id love to know if that is correct, and if not, what is? Thank you so much for your time.
: Classify the conic section
x^2 + y^2 = 121
A hyperbola
B ellipse
C point
D circle
E parabola
F line

I believe the answer is B. But I am not 100% sure, and Id love to know if that is correct, and if not, what is? Thank you so much for your time.

Click here to see answer by jim_thompson5910(9162) About Me 

Question 161958: y = 17
A line
B circle
C point
D parabola
E hyperbola
F ellipse
I think the answer would be c. I just wanted to know if that is correct? I thank you for your help!
: y = 17
A line
B circle
C point
D parabola
E hyperbola
F ellipse
I think the answer would be c. I just wanted to know if that is correct? I thank you for your help!

Click here to see answer by jim_thompson5910(9162) About Me 

Question 161959: What is the standard equation of the circle with radius 4, and center (0,0)?
A (x+4)^2 + y^2 = 16
B (x+4)^2 + (y+4)^2 = 16
C (x+4)^2 + (y+4)^2 = 0
D x^2 + y^2 = 0
E ^2 + y^2 = 4
F x^2 + y^2 = 16

I have no idea where to start on this. Id apperciate seeing the steps and the correct answer. Thank you so much for all your help!
: What is the standard equation of the circle with radius 4, and center (0,0)?
A (x+4)^2 + y^2 = 16
B (x+4)^2 + (y+4)^2 = 16
C (x+4)^2 + (y+4)^2 = 0
D x^2 + y^2 = 0
E ^2 + y^2 = 4
F x^2 + y^2 = 16

I have no idea where to start on this. Id apperciate seeing the steps and the correct answer. Thank you so much for all your help!

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