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

Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)

Question 997105: yuiiafky
Click here to see answer by ikleyn(52798)

Question 997354: How to solve y=-3x squared +1
Click here to see answer by Alan3354(69443)

Question 997627: How do you find the vertex, value of p, axis of symmetry, focus, and directrix of each parabola with the equation X-1=-1/12y^2
Click here to see answer by josgarithmetic(39620)

Question 998335: consider the graph of 2x^2+3y^2=4(which is an ellipse).Find its x- and y-intercepts.
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Question 998658: A chord passing through the focus of the parabola y^2 = 8x has one end at the point (8,8) . Where is the other end of the chord?
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Question 998900: Please help and show all steps

3. For a student recreation building at Northland Community College, an architect wants to lay out a rectangular piece of land that has a perimeter of 204m and an area of 2565m^2. Find the dimensions of the land (Hint: write a system of two equations, then solve the system.)
After I did it my answer I came up with was 125m^2

Click here to see answer by josgarithmetic(39620)

Question 999104: Which is the axis of symmetry of a parabola with equation y^2=-8x
Click here to see answer by Fombitz(32388)

Question 999184: I never made did this when I was in school over 30years ago so I really need help on doing what is being ask. Please help me and show all steps. Thanks
List all of the possible numbers of intersection points for the following systems(it might help to draw the picture)

A) A line and a parabola.

B) Two parabolas.
c) A parabola and ellipse.

D) An ellipse and a hyperbola.

Click here to see answer by Alan3354(69443)

Question 999213: Please help and show work. thanks
Write the equation of the ellipse 36x^ 2 +9y^ 2 +360x−54y+657=0 in standard form (x−h)^ 2/ a^ 2 +(y−k)^ 2/ b^ 2 =1
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Question 999237: Write an equation in standard form of the parabola that has vertex (-4, -8) and passes through the point (7, -371)
Click here to see answer by josgarithmetic(39620)

Question 999241: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = -4 x^2, but with vertex at (-16, -10)
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Question 999185: please help me I never took this until now and is like I am learning a foreign language. Please help me and show or explain all steps.
On an 18-hole golf course there are par-3holes, par 4 hole par-5 holes. A golfer who shoos par on every hole has a score of 72. How many of each type of hoe are there on the golf course. I said 6

A.) Is there enough information to answer this question? Why or Why not?

B) What if we also know that the sum of the number of par-3 holes and par-5 holes is 8? Is this enough information?yes What system of equation? parabola
C) Write the augmented matrix for this system and solve it using the Gaussian Elimination Method. Show all steps! Don't forget to answer the original question.

Click here to see answer by rothauserc(4718)

Question 999293: use the information provided to write the standard form equation of each hyperbola
x^2-y^2+20x+19=0
Click here to see answer by stanbon(75887)

Question 999326: Find the equation of the hyperbola having foci at(4,2)and (8,2) and eccentricity (e) is 2
Click here to see answer by MathLover1(20850)

Question 999300: Find vertex,axis of symmetry, y-intercept and x-intercepts
(-1/2)(y+4)=(x-3)^2
Click here to see answer by Fombitz(32388)

Question 999492: I HAVE tried this so many times and still is ending up with the wrong answer. Please help me and show all work,
The equation of the ellipse that has a center at (8,2) , a focus at (11,2) , and a vertex at (13,2) , is (a-C)^2/A^2 + (y-D)^2/B^2=1

These are the answers I got.

A=_10
B=__14
C=__21
D=____19____
Click here to see answer by solver91311(24713)

Question 1000242: I need help with this question, I keep coming up with the wrong answers.
The equation of the ellipse that has a center at (8,2) , a focus at (11,2) , and a vertex at (13,2) , is
(x−C)^2/ A^2 +(y−D)^2/ B^2 =1
where
A= 4
B= 6
C= 8
D= 2

2. The equation of the ellipse that has a center at (1,5) , a focus at (5,5) , and a vertex at (−4,5) , is
(x−C)^ 2/ A^2 +(y−D)^2/ B ^2 =1
where
A= 5
B= 4
C= 1
D= 5

Click here to see answer by josgarithmetic(39620)

Question 1000426: Please help me with this and show the work. Give the equation of a function that has degree4, but only one real zero, if possible.
My answer is x^4+x^3-x^2+1
Click here to see answer by rfer(16322)

Question 1000756: Where are the foci for the ellipse x^2/9+y^2/64=1?
Click here to see answer by fractalier(6550)

Question 1000757: what should I do to determine which is the major axis of x^2/9+y^2/64=1?
Click here to see answer by fractalier(6550)

Question 1000827: What is the factored form of 2x^2 -12x +18
Click here to see answer by mananth(16946)

Question 1000837: What is the equation of the curve y = x^2 after it is translated 9 units to the right?

Click here to see answer by josgarithmetic(39620)

Question 1000992: I am trying to help my daughter with her algebra 2 homework and we have come across : What are the y-values when x= 4 and when x = -4
We are stuck
Click here to see answer by stanbon(75887)

Question 1001126: What's the focus for the equation x=-1/24y^2 -3
Click here to see answer by josgarithmetic(39620)

Question 1001325: what is the focus diretrix and and axis of symmetry for -x^2=48y
i think the focus is (0,12) but im not sure
Click here to see answer by Boreal(15235)

Question 1001249: Find an equation of the parabola whose axis of symmetry is parallel to the y-axis and
a. whose vertex is (1, -3) and whose y-intercept is 6. Show your method.
b. whose x-intercepts are 2 and 8, which also contains the point (3,4). Show your method.
Click here to see answer by KMST(5328)

Question 1001766: What is the intersection of a cone and a plane parallel to a line along the side of the cone?
Provide mathematical examples to support your opinions. You may use equations, diagrams, or graphs to organize and present your thoughts.
Click here to see answer by solver91311(24713)

Question 1002154: The topic of my question is Quadratic Area Problems but that was not a choice, so I just went with parabolas. Also, this specific question has about 7 parts and I do not know how to even begin on any of them.
A homeowner has a rectangular piece of land 40 feet by 32 feet. He wants to place a rectangle shaped slab for a house on the land in such a way there is a uniform piece of lawn around it. Let "X" equal the width of the strip of surrounding lawn.
a) write an equation that expresses the area of slab in terms of "x"
b) what is the y-intercept value
c) if the lawn has a width of 16ft, what is the area of the slab?
d) what is the area of the slab if x is 12 feet
e) what is the width of the lawn if the area must be 900 square feet
f) what is the width of the lawn if the area is at most 900 square feet
g) what is the width of the lawn if the area is at least 600 square feet
Please help. Thank you so much!

Click here to see answer by josgarithmetic(39620)

Question 1002754: Find a quadratic function that includes the set of values below
(0,3) (2,11) (3,6)
Click here to see answer by josgarithmetic(39620)

Question 1002751: Find an equation in the form y=ax^2+bx+c for the parabola passing through the points (3,-22) (1,4) (2,-4)
Click here to see answer by MathLover1(20850)

Question 1002747: Find the equation in standard form of the parabola passing through these points
(1,7) (2,2) (4,-32)

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Question 1003067: Determine whether a quadratic model exists for the set of values below. If so, write the model
f(0)=-1,f(3)=-16,f(-1)=-8

Click here to see answer by MathLover1(20850)

Question 1003066: Find the equation in standard form of the parabola passing through the points below.
(1,8) (2,3) (4,-31)

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Question 1003107: Length of latus rectum of ellipse . 2x^2+9y^2 =18
Click here to see answer by jkc52(5)

Question 1003064: Find a quadratic function that includes the set of values below.
(0,3) (2,11)(3,6)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1003462: f(x)=x^2+2x+1 minimum or maximum value?
Click here to see answer by Alan3354(69443)

Question 1003462: f(x)=x^2+2x+1 minimum or maximum value?
Click here to see answer by fractalier(6550)

Question 1003601: Solve function is one to one f(x)=x+1|x
Click here to see answer by stanbon(75887)

Question 1003598: Please help me solve this question y=9
Click here to see answer by richard1234(7193)

Question 1003678: Identify this conic section.
9x 2 + 4y 2 = 36
line
circle
ellipse
parabola
hyperbola
Click here to see answer by ikleyn(52798)

Question 1003727: We did not find results for: determine the equation of the ellipse such that the sum of the distances of any point of curve from 2 points whose coordinates are (-3,0) and (3,0) is always equal to 8
Click here to see answer by josgarithmetic(39620)

Question 1003743: How to convert the following equation into standard form and solve for the following:
�the location of the foci
�the coordinates of the of the center of the ellipses
2x� − 8x + 3y� + 12y = 6

Click here to see answer by KMST(5328)

Question 1003989: Eliminate the parameter from the parametric equations x=1/2t+6 and
y = cos t - sin t.
Click here to see answer by fractalier(6550)

Question 1004568: Reduce the equation to standard form x^2+4y^2+6x+16y+21=0. Find the center, foci, ends of x and y axes.
Click here to see answer by MathLover1(20850)

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