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

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Question 786373: How do I do this problem? Functions.
If f(x) = 2x^2 + 17,
find the following.
f(2)
f(sqrt 17)
f(2 + sqrt 17)
f(2) + f(sqrt 17)
f(4x)

Click here to see answer by waynest(281)

Question 786519: How do i find the center, vertices, co-vertices and foci of these equations?
1. 25x2 + 9y2 = 225
2. 49x2 + y2 = 49
3. x2 - 2x + 9y2 - 8 = 0
4. x2 + 4y2 - 18x -8y + 81 = 0
Click here to see answer by lwsshak3(11628)

Question 787615: Find the center and the foci of the ellipse
5x^2+12y^2-30x+24y+7=0
Click here to see answer by lwsshak3(11628)

Question 787310: Write the standard form of the equation of the parabola with the given focus (-1,0) and vertex of (0,0). Then state the directrix.
Also with the vertex (2,3) and given focus (-2,0)
Click here to see answer by lwsshak3(11628)

Question 787283: Write an equation of the ellipse with the given characteristics and center
at (0, 0).
Vertex: (0,4)
Focus: (0,2 sqrt 3) <-- like 2 then square root of 3
I can solve the other types of problems but I got confused when they threw in the square root number.
Click here to see answer by lwsshak3(11628)

Question 789574: what would be the maximum and minimum value for a parabola having the equation of y = -3x� - 6x + 4?

Click here to see answer by Alan3354(69443)

Question 789242: 22. Write the equation of the parabola given the following information. Assume that the vertex is at the origin.
LR length of 12 and opens down
23. Write the equation of the parabola given the following information. Assume that the vertex is at the origin.
The distance from the focus to the directrix is 100

Click here to see answer by lwsshak3(11628)

Question 789490: Identify the focus, directrix, and axis of symmetry then graph the parabola x^2=-2y
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Question 789558: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle.
x^2+y^2−10x−4y+13=0
Click here to see answer by lwsshak3(11628)

Question 791212: What should I do to this probem?
Vertex: (0,5)
Point: (1,-2)
Click here to see answer by Alan3354(69443)

Question 791285: Graph the circle (x-2)^2+(y+1)^2=16 and plot and label a point 'C' at the center and what are the coordinates of 'C'
Click here to see answer by DrBeeee(684)

Question 791734: Given that the points M and N are (-1,5) and (2,4) respectively. If a point P(h,k) is equidistant from the points M and N, show that k = 3h+3.
Click here to see answer by solver91311(24713)

Question 791826: I need your to put this in equation form y=a(x-h)^2
(-1, -4) (7,-4)

Click here to see answer by josgarithmetic(39618)

Question 791154: Write an equation for the ellipse in standard form whose foci: (-3,4) and (7,4) passes through the point (2,1)
Click here to see answer by lwsshak3(11628)

Question 792247: (a) Given two equations of conic sections as follows,
(x-1)(x+5)+(y+1)(y+5)=3,
(x+1)(x-5)+8(y-5)=-17.

(i) Find the vertex, focus and directrix of the parabola
(ii)Find the center and radius of the circle.
(b) Find the shortest distance from the (-2,3) to the line 4x=3y + 2.
Click here to see answer by stanbon(75887)

Question 792577: Write qn equation of parabola whose directrix is y=3 and vertex (2,2)? Plzz help
Click here to see answer by lwsshak3(11628)

Question 792269: The equation 8x^2+5x-7y^2-2y=64-y^2 is a- circle, ellipse, hyperbola, parabola or line.
Click here to see answer by lwsshak3(11628)

Question 792268: The equation 3x^2+5x-6y^2-5y=x^2-10y^2+100 is a- circle, ellipse, hyperbola, parabola or line.
Click here to see answer by lwsshak3(11628)

Question 792750: Find an equation of the hyperbola Center at the origin, its foci on the y axis and passing through the points (-2,4) and (-6,7)
Click here to see answer by lwsshak3(11628)

Question 794458: find an equation of the ellipse with the center at the origin one focus at (3,0) and one vertex at (-4,0)
Click here to see answer by lwsshak3(11628)

Question 794245: Write the equation of a parabola with vertex (1, -9) and directrix y = -9 - 7.
What is the focus of the equation?
What is the axis of symmetry?

Click here to see answer by lwsshak3(11628)

Question 793408: equation of hyperbola is given by the equation 8y2-2x2=16. find the co ordinates of.
1) foci
2) vertices
3) eccentricity
Click here to see answer by lwsshak3(11628)

Question 793282: How to find the equation of a parabola with vertex at (0,0)if its axis of symmetry
is the x-axis and its graph contains the point (-1/2,2)?
Click here to see answer by lwsshak3(11628)

Question 792919: Use the given information to write the equation of each quadratic equation. The intercepts of the parabola are (-1,0), (5,0) and (0,15).
My work,
-1 and 5 are the roots
while 15 is the y-int.
(x+1)(x-5)
x^2-4x-5
-3(x^2-4x-5) = -3x^2+12x+15
Click here to see answer by lwsshak3(11628)

Question 792764: How to calculate distance between vertex (2,2) and directrix y=3 plzz respected teachers help me!
Click here to see answer by lwsshak3(11628)

Question 792229: Find location of the center, vertices, and foci.
(x+4)^2/36-(y-1)^2/25=1
Click here to see answer by lwsshak3(11628)

Question 794910:
The Equation of an Ellipse is shown below.
(x+2)^2/100 + (y+7)^2/36 =1
What is the length of its major axis?
a^2= 100
sqrt of 100=10
10=semimajor axis
10x2= 20.
20=major axis length?

I think I'm right but I'm not sure.
Click here to see answer by Alan3354(69443)

Question 795185: Write x^2+25y^2+6x-100y+9=0 in standard form. Find conic and center

Click here to see answer by josgarithmetic(39618)

Question 795150: find the points of intersection of the hyperbola 4x^2-y^2=15 and x^2-9y^2=-5.

Click here to see answer by lwsshak3(11628)

Question 797579: Determine the equation of the normal line at the point x=4 to the curve
y=16/x-4x+2sqrtx
Click here to see answer by Alan3354(69443)

Question 797745: I was just wondering which conic represents (x-2)^2 +4y^2=k,
Where k is a constant.
Click here to see answer by stanbon(75887)

Question 798039: find the general equation of ellipse with center at (1,5), major axis parallel to x-axis, length of latus rectum is 9/4, distance between foci is 2squareroot of 55 units.
Click here to see answer by Edwin McCravy(20056)

Question 798303: find the coordinate of the point interception of the ellipse 4x^2+4y^2=4 and the circle x^2+y^2=2

Click here to see answer by Alan3354(69443)

Question 798328: show that the line y=2x+3 is the equation of the tangent of the ellipse 4x^2+2y^2=2. hence find the coordinate of the point of contact
Click here to see answer by josgarithmetic(39618)

Question 798323: show that the line y=2x+3 is the equation of the tangent of the ellipse 4x^2+2y^2=2. hence find the coordinate of the point of the contact
Click here to see answer by josgarithmetic(39618)

Question 798893: Find the center of the ellpise below
(x-8)^2/49+(y+6)^2/121=1
Click here to see answer by solver91311(24713)

Question 801728: Write standard form of hyperbola.
Foci: (+-10,0) asymptotes: y=(+-3/4)x
Click here to see answer by lwsshak3(11628)

Question 801727: Foci: (+-5,0), major axis of length 26. Write in ellipse standard form
Thank you for taking time
Click here to see answer by lwsshak3(11628)

Question 801045: Hi! I have a problem that asks: "Find the focus and directrix of the parabola from the given equation. "
The first problem is: y^2=16x
I tried using this formula: "(y-k)^2=4p (x-h) and only figured out the vertex, which in this case would be (0,0). I don't understand the rest. I tried finding the directrix and focus but I just don't understand how to at all. Please help. Thank you! :)
Click here to see answer by lwsshak3(11628)

Question 804244: The ellipse graphed below has its center at (-1, 2), its horizontal axis is of length 4, and its vertical axis is of length 2. What is its equation?
Click here to see answer by Alan3354(69443)

Question 804343: How long is the major axis of the ellipse that is defined in the equation given below (x-4)^2/9^2+(y+8)^2/11^2=1
Click here to see answer by solver91311(24713)

Question 804650: Please help me solve this equation:
Click here to see answer by solver91311(24713)

Question 804870: Write the function in vertex form. Y=-x^2+4x+4
Click here to see answer by erica65404(394)

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