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

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

Question 616800: what is 3x^2 + 3y^2 + 24y + 18x - 27=0 written in standard form
Click here to see answer by stanbon(75887)

Question 616967: find the equation of the parabola with its focus at (-4,7) and directrix y=1
Click here to see answer by lwsshak3(11628)

Question 616987: All of the questions are based on the same ellipse...
1)An ellpise has foci at (-5,0)and (5,0). What is the value of c�?

2)If the sum of the focal radii of this ellpise is 12, what is the value of a�?

3)Using your conclusions, what is the value of b�?

4)What is the equation of the ellipes?

5)What are the x-intercepts of the ellipse?

6)What are the y-intercepts of this ellipse?

7) Graph the ellipse and plot the foci on a graph.

Click here to see answer by solver91311(24713)

Question 616991: find the coordinates of the point halfway between (3,4) and (-2,5)?
Click here to see answer by stanbon(75887)

Question 616991: find the coordinates of the point halfway between (3,4) and (-2,5)?
Click here to see answer by Alan3354(69443)

Question 617011: given that a parabola has a directrix of y=-3.25 and focus (0,2.75),...find the vertex
then write the equetion of the parabola and graph the parabola
please answer this step by step
Thanks
Click here to see answer by lwsshak3(11628)

Question 617010: ``All of the questions are based on the same ellipse...
1)An ellpise has foci at (-5,0)and (5,0). What is the value of c�?

2)If the sum of the focal radii of this ellpise is 12, what is the value of a�?

3)Using your conclusions, what is the value of b�?

4)What is the equation of the ellipes?

5)What are the x-intercepts of the ellipse?

6)What are the y-intercepts of this ellipse?

7) Graph the ellipse and plot the foci on a graph.

please give me step by step instructions

Click here to see answer by lwsshak3(11628)

Question 617170: f(x)=1/5(x+9)^2+6 Find the vertex,line of symmetry, max or min value of f(x)and graph the function. I do not trust my answer and it's for the finals! Thank you.
I came up with Vertex (-9,6) line of symmenty x=-9, graph would open upward 1 is the minimum?
Click here to see answer by scott8148(6628)

Question 617173: What are the vertex, focus, and dirtectrix of the parabola with the given equation?
24y = x^2 - 10x + 145
Click here to see answer by lwsshak3(11628)

Question 617191:
(y+1)^2 = 12(x-1)
Graph, including the foci
Click here to see answer by Edwin McCravy(20056)

Question 617137: Identify the curve. Find the characteristics listed.
Center, Vertices, Foci.
x^2/64 + y^2/16 = 1
Click here to see answer by lwsshak3(11628)

Question 616806: what is the equation of y^2= 1/5x when translated up 3 units and left 2 units
Click here to see answer by lwsshak3(11628)

Question 616517: Show the vertex forms of a parabola y= 1/4c(x-h)� + k. Can you explain how to find the vertex, focus, and diretrix from the vertex form, and show how to graph a parabola
Click here to see answer by lwsshak3(11628)

Question 617006: given that a rarabola has a directrix of y=-3.25 and focus (0,-2.75) find the vertex
please show step by step

Click here to see answer by lwsshak3(11628)

Question 616738: Find the standard form, graph, and find the asymptotes of the hyperbola
Verticies:(-10,3), (6,3). Focus: (-12,3), (8,3)
Click here to see answer by lwsshak3(11628)

Question 617304: Find the radius of a circle given by the following equation:
x^2 + y^2 + 2x + 4y + 4 = 0
I know the answer (r=1), but I want to understand the steps to arrive at the solution.
Thank you!
Click here to see answer by Edwin McCravy(20056)

Question 617296: Use the information provided to write the standard form of the ellipse:
Vertices: (-9,3),(-9,-23)
Foci: (-9,2), (-9,-22)
Please provide a step by step answer.
Click here to see answer by KMST(5328)

Question 617399: Find an equation of an ellipse having the given intercepts:
x - intercepts: +-Square root 6
y - intercepts: +-2Square root 3
Click here to see answer by Edwin McCravy(20056)

Question 617651: prove that an exterior angle of a triangle is equal to the sum of the remote interior angles... how do i do this?
Click here to see answer by solver91311(24713)

Question 617654: 88+9y2=8x-54y-x2 how do i put this in standard form?
Click here to see answer by lwsshak3(11628)

Question 617323: What is the major and minor axis of an ellipse given the equation below:
16x^2 + 9y^2 -144 = 0
What is the location of the foci?
Thank you!
Click here to see answer by lwsshak3(11628)

Question 615730: Write the equation of a parabola that has a focus pointlocated at (-3,-1) and the equation of the directrix is y=3.
Click here to see answer by lwsshak3(11628)

Question 615729: What is the equation of the asymptotes to the problem 16(x-2)^2-9(y+1)^2=-144
Click here to see answer by lwsshak3(11628)

Question 618107: How do you write the equation of the indicated conic in standard form?
Ellipse: Vertices:(-4,6),(8,6) Co-vertices:(2,8),(2,4)
Click here to see answer by lwsshak3(11628)

Question 618147: Identify the conic section. If it is an ellipse or a hyperbola, give the center and foci.
-
Click here to see answer by solver91311(24713)

Question 618147: Identify the conic section. If it is an ellipse or a hyperbola, give the center and foci.
-
Click here to see answer by lwsshak3(11628)

Question 617574: assuming that the equation represents a nondegenerate conic, classify by computing B^2-4AC.

2x^2-4xy+8y^2+7=0

Click here to see answer by jsmallt9(3758)

Question 618492: How do you write the equation of the indicated conic in standard form?
Parabola: Vertex:(2,8) Directrix:Y =4
Hyperbola: Vertices:(-3,2),(7,2) Foci:(-5,2),(9,2)
Click here to see answer by ewatrrr(24785)

Question 618494: How do you find the center, vertices, foci, and asymptotes of the hyperbola?
x^2-9y^2+36y-72=0
Click here to see answer by lwsshak3(11628)

Question 618493: How do you find the center, vertices, and the foci of the ellipse?
(y-5)^2/25+(x+1)^2/16=1
Or
36x^2+9y^2+72x-36y+36=0
Click here to see answer by ewatrrr(24785)

Question 618495: How do you find the vertex, focus, directrix, and axis of symmetry of the parabola?
x^2-2x+8y+9=0
Click here to see answer by ewatrrr(24785)

Question 618495: How do you find the vertex, focus, directrix, and axis of symmetry of the parabola?
x^2-2x+8y+9=0
Click here to see answer by lwsshak3(11628)

Question 618495: How do you find the vertex, focus, directrix, and axis of symmetry of the parabola?
x^2-2x+8y+9=0
Click here to see answer by John10(297)

Question 618855: Transform the following equation by completing the square. Identify the conic section represented by each equation or its boundary.
x=0.2y^2-2y-3
Click here to see answer by stanbon(75887)

Question 618961: Find the standard form of the equation of the specified hyperbola. Graph and Label.
Vertices (+ or -2,0)
Asymptotes y = +or- 1/2x
Click here to see answer by lwsshak3(11628)

Question 618962: Find the equations of the asymptotes of the hyperbola.
25y^2 - 16x -400 = 0
Click here to see answer by lwsshak3(11628)

Question 618960: Find the standard form of the equation of the specified hyperbola.
49x^2 - 196x - 36y^2 + 504y - 3332 = 0
Click here to see answer by lwsshak3(11628)

Question 618930: Does this parabola open upward or downward? How do you know?
y=x^2-1
Click here to see answer by josmiceli(19441)

Question 618931: Does this parabola open upward or downward? How do you know?
y=-3x^2
Click here to see answer by mananth(16946)

Question 619009: graph the equation. Identify the vertices and foci of the hyperbola. (4 problems-same type)
a. y^2/16 - x^2/36 = 1
b. 9x^2 - 25y^2 = 225
c. (y+5)^2/36 - (x+2)^2/25 = 1
d. x^2/25- (y-2)^2/4 =1
Click here to see answer by solver91311(24713)

Question 619017: 1. Identify the focus, directrix, and axis of symmetry of the parabola
a. y= 1/2x^2
b. y^2=16x
2. Identify the vertices, co-vertices and foci of the ellipse
a. x^2/36 + y^2/16 =1
b. (x+5)^2 + y^2/49 = 1
Click here to see answer by ewatrrr(24785)

Question 618878: Write the equation in a standard form and graph.
(x+7)^2 = 12(y-3)
Click here to see answer by ankor@dixie-net.com(22740)

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