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

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Question 549417: For the following equation, give the x-intercepts and the coordinates of the vertex.
y=x^2-6x-1
The chart needs to be filled out like this:
x-intercept (x,y)= (_____, _____) (smaller x-value)
x-intercept (x,y)= (_____, _____) (larger x-value)
vertex (x,y)= (_____, _____)
I cannot figure out how to fill out this chart please help me

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Question 549445: hi! what is the vertices of the ellipse equation: (x-2)^2+((y+1)^2)/9=1
Click here to see answer by lwsshak3(11628) About Me 

Question 549577: Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.
f(x) = -x2 - 2x - 6

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Question 549479: Determine wether has a minimum or maximum valus and state it for f(x)=6xsquared
then state the domain and range

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Question 550077: Please provide me with a couple of formulas to rearange:
P= (sqrt of (perihelion / (1-e))cubed)) so that I can determine
a: eccentricity
b: perihelion
I thought that I'd found out how to rearange it for perihelion, but when various values were plugged in, the results were incorrect. I'm sure that all that I missed was an operation overlooked.

Click here to see answer by Alan3354(69443) About Me 

Question 550078: Question 550077: Please provide me with a couple of formulas to rearange:
P= (sqrt of (perihelion / (1-e))cubed)) so that I can determine
a: eccentricity
b: perihelion
I thought that I'd found out how to rearange it for perihelion, but when various values were plugged in, the results were incorrect. I'm sure that all that I missed was an operation overlooked.
The [ P ]value is "period"

Click here to see answer by stanbon(75887) About Me 

Question 550062: Determine the equation of the parabola with a directrix of x + y - 6 = 0 and a focus at (0, 0)

Click here to see answer by Edwin McCravy(20059) About Me 

Question 550205: Question 1
The foci are at (+-2,0)and the ellipse passes through (2,-3)
Question 2
The ellipse passes through points (6,4) and (-8,3)
Question 3
Find the equation of the circle which has its centre at point (2,3) and passes through the origin
Question 4
The centre of a circle lies on line y=2x-2, and this circle cuts the x-axis at points (1,0)and (3,0). Find the equation of the circle.

For question 3
This is what I've done:
(h,k)=(2,3)
(x-2)^2+(y-3)^2=r^2
(0-2)^2+(0-3)^2=r^2
4+9+r^2
r^2=13
R=√13
Please provide for me the full working as it is easy for me to understand, Thanks

Click here to see answer by Alan3354(69443) About Me 

Question 549080: Subtract.
(5x^6 + 9x^4 – 2x^3 – 3) – (8x^6 – 8x^5 + x^4 – 4)

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Question 550955: identify the vertex of the graph of the function y=(x+3) square root-2.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 550955: identify the vertex of the graph of the function y=(x+3) square root-2.
Click here to see answer by stanbon(75887) About Me 

Question 551180: How do i Write the equation of a circle with endpoints of the diameter at
(4, -3) and (-2, 5).

Click here to see answer by jim_thompson5910(35256) About Me 
Question 551180: How do i Write the equation of a circle with endpoints of the diameter at
(4, -3) and (-2, 5).

Click here to see answer by nyc_function(2741) About Me 

Question 551341: what is the solution of the following system of equations:
x^2-y=4
4x^2+y^2=12

Click here to see answer by Alan3354(69443) About Me 

Question 552062: Please help me solve,
What is an equation for the hyperbola with vertices (3,0) and (-3,0) and asymptote y=4/3x?

Click here to see answer by Theo(13342) About Me 

Question 552378: Can you please show me the graph of 9x^2+4y^2-54x+16y+61=0 and the coordinates of the center and foci please!
Click here to see answer by AnlytcPhil(1806) About Me 

Question 552371: What is the axis of symmetry of y=7(x+1)(x-3) I have tried another website and it stated something about h=x, and h would be the 1 in the first set of parenthesis, correct? Or is there some other method that is more accurate? Thank you.
Click here to see answer by Theo(13342) About Me 

Question 552874: Please help me solve this graphing quad.
y=-1/2x2-4x-12
Y + negitive half x squared minus 4x minus 12

Click here to see answer by lwsshak3(11628) About Me 

Question 552873: Please help me solve this graphing quad.
y=x2+4x+8

Click here to see answer by lwsshak3(11628) About Me 

Question 552799: Graph the equation. Identify the vertices, co vertices, and foci of the ellipse.
{[(x^2)/16]+[(y^2)/4]}=1

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Question 552788: name the vertex, axis of symmetry, focus, directrix, and direction of opening of the parabola whose equation is given. then find the length of the latus rectum and draw the graph.
the equation is: y = -8x

Click here to see answer by lwsshak3(11628) About Me 

Question 552790: the focus of a parabola is (4, -3) and the directrix is y=6
write the equation of the parabola and then draw the graph.

Click here to see answer by lwsshak3(11628) About Me 

Question 553002: which equation does not represent a line of symmetry for the circle with the equation x^2+y^2=100
a.x=0
b.y=.5x
c.y=x+1
d.y=x

Click here to see answer by Alan3354(69443) About Me 

Question 553058: Write this equation in standard form: x squared minus 17 equals 8y plus 39
Click here to see answer by jim_thompson5910(35256) About Me 

Question 553079: Use a graphing calculator, graph the pair of functions y=square root 49-(x-2)^2 and - square root -(x-2)^2
a. identify the conic section represented by the graph
b. write its equation in standard
And the multiple choice is
a. circle;(x+2)^2+y^2=49
b. circle;(x-2)^2+y^2=49
c. ellipse;(x-2)^2/(4)+(y^2)/(49)=1
d. ellipse;(x-2)^2(49)+(y^2)/(4)=1

Click here to see answer by stanbon(75887) About Me 

Question 553179: Write a equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola.
12. 6x squared + 6y squared = 162

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Question 553157: write the following equations in standard form:
1.4x^2+4y^2+8x-24y=60
2.4x^2-6y^2+8x-24y=68

Click here to see answer by lwsshak3(11628) About Me 

Question 552369: Can you please show me the graph of 3x^2-2y^2+12x+4y+4=0 and the coordinates of the center and foci please!
Click here to see answer by lwsshak3(11628) About Me 

Question 552780: the focus and directrix of a parabola are given. the focua is (3,5) and the directrix is y=1 . write the equation of the parabola and then draw the graph.
Click here to see answer by lwsshak3(11628) About Me 

Question 552477: the arch of an underpass is a semi ellpise 20 m wide and 5 m high. find the clearance at the edge of a plane ,if the edge is 5m from the middle.sketch the graph. tnx
Click here to see answer by lwsshak3(11628) About Me 

Question 552468: what is the focus of this conic section
9x^2+25y^2-200y+175=0

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Question 551776: An object is fired upward from the top of a tower at the velocity of 80 feet per second. the tower is 200 feet high. the height of the object above the ground t seconds after firing is given by the formula h(t)=-16t^2 +80t+200.
a) What is the maximum height reached by the object?
b) How long after firing does it reach maximum height?

Click here to see answer by lwsshak3(11628) About Me 

Question 553468: what are the equations for both asymptotes of the following hyperbola (y^2)/(16)-(x^2)/(9)=1
Click here to see answer by lwsshak3(11628) About Me 

Question 552985: I'm having a difficulty in solving this problem,your help is highly appreciated:
The elliptical orbit of Mars has its foci at (0.141732, 0) and
(-0.141732, 0), where 1 unit equals 1 AU. The length of the major axis is
3.048 AU. Determine the equation that models Mars’ elliptical orbit

Click here to see answer by lwsshak3(11628) About Me 

Question 551770: a ball is thrown upward into the air with an intitial velocity of 64 feet per second.the formula h(t)= 64t-16t^2 gives it height above the ground after t seconds.
a) what is the height after 1.5 seconds?
b) what is the maximum height?
c) how many seconds will pass before it returns to the ground?

Click here to see answer by lwsshak3(11628) About Me 

Question 552789: the focus of a parabola is (5,5) and directrix is y= -3 .
write an equation for the parabola and then draw the graph.

Click here to see answer by lwsshak3(11628) About Me 

Question 548498: An equilateral triangle of side a has one vertex at he origin and the opposite side parallel to the y-axis.Find the coordinates of the vertices?
Click here to see answer by lwsshak3(11628) About Me 

Question 546624: This is about parabola's.
I know the fomula to find the vertex is y=aX^2+bx+c
But I dont understand the process of working the problem out.
The equation is y=(x-2)^2+3
(I dont have the raised to 2nd power key so I put ^2 hope its not a problem)

Click here to see answer by lwsshak3(11628) About Me 

Question 553638: Identify the following curve: 64x^=49+25y^
Click here to see answer by Alan3354(69443) About Me 

Question 553687: Find the equation of the circle of radius 8 with its center at the origin.
Click here to see answer by Theo(13342) About Me 

Question 553690: Write an equation for the hyperbola with vertices (4,0) and (-4,0) and asymptote y=1/4x.
Click here to see answer by Theo(13342) About Me 

Question 553689: Find an equation of the ellipse centered at (0,0), with a vertex at (9,0) and asymptote y=1/4x
Click here to see answer by AnlytcPhil(1806) About Me 

Question 553835: classify the conic section defined by the equation 4x^2+9x^2-8x-18y-23=0
mulitple choice answers
hyparbola
circle
parabola
ellispe

Click here to see answer by lwsshak3(11628) About Me 

Question 553796: When finding a solution of system of equations, for a conic intersection, how do you know what to do when there is a question like x%5E2+%2B+y%5E2+=+16 and x + y = 2? I understand that on the second equation I need to get it to where y = -x - 2, but I dont understand how to plug it into the first equations to find the point.
Click here to see answer by lwsshak3(11628) About Me 

Question 553750: Write an equation for an ellipse with major axis of length 12 and foci at(7,2) and (1,2).
Click here to see answer by lwsshak3(11628) About Me 

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