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

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

Question 612351: Find the standard form of a parabola with vertex (0,0) and directrix x=7
Click here to see answer by lwsshak3(11628)

Question 612350: Find the standard form of the hyperbola with verticies (0,3) and (0,-3) and asmptotes y=3/2x and y=-3/2x
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Question 612349: Find the vertex and focus of the parabola y^2-8x=0
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Question 612348: How do you find the vertex, focus and directrix of a parabola 1/2y^2+18x=0
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Question 612377: Major axis 16 units long, center at (0,0), foci at (0, 2√15) and (0,-2√15)
Click here to see answer by jsmallt9(3758)

Question 612358: Graph the parabola y=(x+1)^2+4. Give five points; the vertex and two on each side of the vertex.

Click here to see answer by lynnlo(4176)

Question 612408: Find the coordinates of the center and foci and the lengths of the major and minor axes for the ellipse. Then graph the ellipse
y^2/16 +x^2/9 =1
Click here to see answer by lynnlo(4176)

Question 612504: Write the ellipse in standard form then find the coordinates of the center and foci, and the lengths of the major and minor axis, and graph. 4(y-2)^2+9x^2=36
Click here to see answer by ewatrrr(24785)

Question 612500: Write an equation for the circle with center (-4,2) that is tangent to the y-axis
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Question 612498: Identify the coordinates of the vertex, directrix, and the direction of opening of the parabola with equation (y-4)^2=x+2
Click here to see answer by lwsshak3(11628)

Question 612560: What is a recursive rule for the sequence below?
-19,-10,-1,8,...
I think that it could be a1=8, an=a(n-1)+9
Click here to see answer by jim_thompson5910(35256)

Question 612564: find the vertices, foci, and asymptote of 16x^2 - 25y^2=400
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Question 612548: find the equation of the ellipse with the following properties.
x-intercepts (2,0) and (-2,0); y-intercepts (0,4) and (0,-4)
Click here to see answer by lwsshak3(11628)

Question 612542: find the equation of the ellipse with the following properties.
x-intercepts (5,0) and (-5,0); y-intercepts (0,3) and (0,-3)
Click here to see answer by jsmallt9(3758)

Question 612676: How do I graph the parabola 8y=x^2 - 4x - 4?
Click here to see answer by stanbon(75887)

Question 612269: Write an equation for the hyperbola that satisfies each set of conditions. vertices (-4,1) and (-4,-9), foci at (-4, 5(+or-)the square root of 9)
Please explain every detail. I am not sure what what I'm doing...
Edit: y1 is supposed to be a postive.. sorry..
Click here to see answer by lwsshak3(11628)

Question 612878: What Kind Of Conic Graph Is This? (x-3)^2 + (y+2)^2=4
Click here to see answer by jim_thompson5910(35256)

Question 612903: Please help me find the standard form of the equation : . By completing the square. And state the type of conic.
Please show all steps so I can understand how to get to the answer.
Click here to see answer by jsmallt9(3758)

Question 612923: The equation of the hyperbola that has a center at (10,4), a focus at (15,4), and a vertex at (13,4)
Click here to see answer by ewatrrr(24785)

Question 612916: how do you change this into an ellipse equation then graph it
step by step~ thanks
Click here to see answer by Alan3354(69443)

Question 612968: I need help on finding the Standard form of the equation : . By completing the square. And also state the type of conic. Please show all steps.
Click here to see answer by Earlsdon(6294)

Question 612978: Whats the standard form of the equation : . By completing the square. Also what type of conic would it be?
Please show the steps.
Click here to see answer by ewatrrr(24785)

Question 612997: Need help on writing the standard form of the equation:
I tryed it out by completing the square this is what I done:

grouped the y terms together
divided 2 by -2 and squared it, moved x+3 to the right and added 1 to both sides.
that's the last part I got. Am I on the right track? I think it's supposed to be a parabola.
Please show your steps on how to get the answer.

Click here to see answer by Alan3354(69443)

Question 613124: I need to find the foci and lengths of major and minor for this equation- x^2 over 16 + y^2 over 9 = 1
Please help! Thanks
Click here to see answer by solver91311(24713)

Question 613188: How do I plug in a translated hyperbola equation into my graphing calculator? For example, (y-3)^2/(4) - (x+1)^2/(9) = 1 ?
Click here to see answer by ewatrrr(24785)

Question 613363: 12y^2-40x^2=480

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Question 613360: 12y^2-40x^2=480
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Question 613360: 12y^2-40x^2=480
Click here to see answer by Alan3354(69443)

Question 613392: The path of a shell fired from ground levels is in the shape of the parabola y=4x-x^2, where x and y are given in kilometers.
a. How high does the shell go?
b. How far has the shell traveled horizontally when it reaches its maximum height?
c. How far from its firing point does the shell land?

So frustrating, I cannot understand this. Any help is appreciated, thank you!
Click here to see answer by ewatrrr(24785)

Question 613412: how would you write the conic x^2-14x+y^2+4y-11 into standard form?
Click here to see answer by lwsshak3(11628)

Question 613530: the question says find the coordinates of the vertices and foci and the equations of the asymptotes for the hyperbola (x+1)sqared -(y-3)sqared=4
please help im so lost
Click here to see answer by lwsshak3(11628)

Question 613637: (x+3)^2/16-y^2/9=1
conic
center
foci
graph
Click here to see answer by ewatrrr(24785)

Question 613651: an ellipse has a vertex at (4,0), a co-vertex at (0,2), and a center at the origin. what is the ellipse in standard form?
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Question 613699: what is the axis of symmetry, focus, and equation for directrix for the parabola x=1/16 y^2
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Question 613811: What kind of shape does x^2+4y^2=4 make?
Click here to see answer by stanbon(75887)

Question 613836: On my homework I have a couple of problems that have to do with conic sections. I have already done one in class but my teacher didnt explain it. The problem is x^2+y^2-3x+8y=20. Im stuck on what to do next.
Click here to see answer by scott8148(6628)

Question 614074: Can someone help me with these 2 questions.

Click here to see answer by ewatrrr(24785)

Question 614197: A movie earned $80 million during its first week of release. Then sales decreased by 60% during each following week. When asked to calculate the amount of money earned during the movie�s 5-week release period, Julian got an answer of about $2 million.
Part A: How can you tell immediately that Julian�s answer is not reasonable?
Part B: What error did Julian likely make?
Part C: How much money did the movie earn during its 5-week release period? Round your answer to the nearest million.
Click here to see answer by richwmiller(17219)

Question 614371: classify the conic section for (x+3)^2/16 - (y-5)^2/64 = 1

Click here to see answer by rapaljer(4671)

Question 614331: What is the vertex, focus, and directrix for this equation: (3x+6)^2=18y-36
Click here to see answer by lwsshak3(11628)

Question 614352: Graph the parabola by finding the vertex, directrix, and opening. Equation given 4x-3=-ysq.+4y+1
Click here to see answer by lwsshak3(11628)

Question 614559: please help me write a equation for a hyperbola for ; a=7 and c=9
Click here to see answer by lwsshak3(11628)

Question 614581: Find the verticies of the hyperboloa defined by this equation:
(x-2)^2 over 36 minus (y-2)^2 over 4 equals 1.
Click here to see answer by lwsshak3(11628)

Question 614581: Find the verticies of the hyperboloa defined by this equation:
(x-2)^2 over 36 minus (y-2)^2 over 4 equals 1.
Click here to see answer by ewatrrr(24785)

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