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

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Question 616126: Can I please receive assistance with these.
Identify the center, vertices, and co vertices (x+4)^2/4 + (y-1)^2/1 =1
25x^2 + y^2 +400x +4y +1579= 0
(x-3)/49 + (y+3)/81 = 1
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Question 616135: Write the equation for a circle, in standard form, using the given information:
C: (0,0) and the point (-4,6) lies on the circle
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Question 616153: The equation of an ellipse is shown.
(x-60)^2/256 + (y-34)^2/196 = 1
What is the length of its major axis?
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Question 616156: 1. The equation of an ellipse is given by (x+2)^2/25 + (y-1)^2/16=1
a. Give the coordinates of the center of the ellipse.
b. Give the length of the major and minor axes.
c. Give the coordinates of the foci.
d. Graph the ellipse. Label the center and foci.
I believe a)(-2,1)
Click here to see answer by ewatrrr(10682)

Question 616154: 2. The equation of a hyperbola is given by (x-1)^2/16 - (y+1)^2/9 =1
a. Give the coordinates of the center of the hyperbola.
b. Give the length of the transverse and conjugate axes.
c. Give the slopes of the asymptotes.
d. Give the coordinates of the foci.
e. Graph the hyperbola. Label the center, midpoints of the associated rectangle, and foci.
I have the first 2 done correctly I think. For a) 1, -1. For b) transverse 4, conjugate is 3.
Click here to see answer by ewatrrr(10682)

Question 616118: May I please receive assistance on these problems.
Write an equation for each ellipse in standard form.
1.vertices:(4,-7) and (12,-7) co-vertices(8,-10) and (8,-4)
2.vertices: (0,-7) and (0,7) co- vertices (-4,0) and (4,0)
3.co-vertices (-8,-3) and (-4,-3) foci (-6,-3-squaretoot of 77) and (-6,-3 plus square root of 77)
Click here to see answer by ewatrrr(10682)

Question 616210: For the conic section described by the equation 9x^2+4y^2-18x+16y-11=0
What is the center?
What is the length of the semimajor axes?
What is the focal length?
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Question 616273: the ellipse is center at the origin. the legnth of its horizontal axis is 8,and the length of its vertical axis is 6.what is the equation for the ellipse
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Question 616343: What is the radius of the circle given by the equation below?
x2 - 14x + y2 + 12y = -69
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Question 616287: Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).
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Question 616421: write the equation 9x^2=4y^2-16y+52 in standard form.
Click here to see answer by math33(31)

Question 616289: Write the equation of a hyperbola with vertices (0, -5) and (0, 5) and co-vertices (-2, 0) and (2, 0)
Click here to see answer by jsmallt9(3296)

Question 616285: Write the equation of a hyperbola with vertices at (-4, 0) and (4, 0) and co-vertices (0, 5) and (0, -5).
Click here to see answer by jsmallt9(3296)

Question 616682: Sketch the hyperbolas. Identify the center, asymptotes, vertices, and foci.
y^2/16 - x^2/9 = 1
Click here to see answer by lwsshak3(6755)

Question 616682: Sketch the hyperbolas. Identify the center, asymptotes, vertices, and foci.
y^2/16 - x^2/9 = 1
Click here to see answer by ewatrrr(10682)

Question 616686: Sketch the hyperbolas. Identify the center, asymptotes, vertices, and foci.
(x-3)^2/9 - (y+5)^2/16 = 1
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Question 616755: identify the conic section with the equation x^2 + y^2 - 6x - 4y - 68 = 0
Click here to see answer by scott8148(6628)

Question 616800: what is 3x^2 + 3y^2 + 24y + 18x - 27=0 written in standard form
Click here to see answer by stanbon(57967)

Question 616967: find the equation of the parabola with its focus at (-4,7) and directrix y=1
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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 c²?

2)If the sum of the focal radii of this ellpise is 12, what is the value of a²?

3)Using your conclusions, what is the value of b²?

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(17077)

Question 616991: find the coordinates of the point halfway between (3,4) and (-2,5)?
Click here to see answer by stanbon(57967)

Question 616991: find the coordinates of the point halfway between (3,4) and (-2,5)?
Click here to see answer by Alan3354(31518)

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(6755)

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 c²?

2)If the sum of the focal radii of this ellpise is 12, what is the value of a²?

3)Using your conclusions, what is the value of b²?

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(6755)

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
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Question 617191:
(y+1)^2 = 12(x-1)
Graph, including the foci
Click here to see answer by Edwin McCravy(8999)

Question 617137: Identify the curve. Find the characteristics listed.
Center, Vertices, Foci.
x^2/64 + y^2/16 = 1
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Question 616806: what is the equation of y^2= 1/5x when translated up 3 units and left 2 units
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Question 616517: Show the vertex forms of a parabola y= 1/4c(x-h)² + 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(6755)

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(6755)

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(6755)

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(8999)

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(1936)

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(8999)

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(17077)

Question 617654: 88+9y2=8x-54y-x2 how do i put this in standard form?
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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(6755)

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.
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Question 615729: What is the equation of the asymptotes to the problem 16(x-2)^2-9(y+1)^2=-144
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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)
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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(17077)

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(6755)

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