Graphs

Practice Questions

College Algebra › Graphs

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1

Find the focal points of the conic below:

$27x^{^{2}}+16y^{^{2}}+324x-96y+684 = 0$

2

Give the foci of the ellipse of the equation

$\frac{x^{2}}{46}+ \frac{y^{2}}{19} = 1$

Round your coordinates to the nearest tenth, if applicable.

3

The graph of the equation

$16x^{2} + 12y^{2} -96x-48y =0$

is an example of which conic section?

4

Find the eccentricity of an ellipse with the following equation:

5

What is the equation of the ellipse given the following:

Vertices: (10,0), (-10,0)

Co-vertices: (0,7), (0,-7)

6

Give the foci of the ellipse of the equation

$\frac{(x- 2)^{2}}{64} + \frac{(y-6)^{2}}{49} = 1$ .

Round your coordinates to the nearest tenth, if applicable.

7

The graph of the equation

$16x^{2}+12y^{2}-96x+48y+384=0$

is an example of which conic section?

8

Give the eccentricity of the ellipse of the equation

$\frac{x^{2}}{25}+ \frac{y^{2}}{169} = 1$

9

Find the center of this ellipse:

$33x^2+13y^2-396x+26\sqrt{7}y+850=0$

10

Write the equation for an ellipse with center , foci $(1 \pm \sqrt{14}, 4)$ and a major axis with length 14.

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