Understand features of hyperbolas and ellipses

Practice Questions

Pre-Calculus › Understand features of hyperbolas and ellipses

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1

How can this graph be changed to be the graph of

$x^2 - \frac{y^2}{9} = 1$ ?

Wrong hyperbola 1

2

The equation of an ellipse, , is $\frac{(x+3)^2}{9}+\frac{(y-7)^2}{36}=1$ . Which of the following is the correct eccentricity of this ellipse?

3

The equation of an ellipse, , is $\frac{(x+3)^2}{9}+\frac{(y-7)^2}{36}=1$ . Which of the following are the correct end points of the MAJOR axis of this ellipse?

4

What is the equation of the conic section graphed below? Right hyperbola 1

5

Find the endpoints of the major and minor axes of the ellipse described by the following equation:

$\frac{(x-8)^2}{4}+\frac{(y+2)^2}{25}=1$

6

Write the equation for in standard form

7

Find the center of the ellipse with the following equation:

$\frac{(x-1)^2}{36}+\frac{(y+2)^2}{9}=1$

8

Express the following equation for a hyperbola in standard form:

9

Find the eccentricity of the hyperbola with the following equation:

$\frac{x^2}{144}-\frac{y^2}{25}=1$

10

Find the equations of the asymptotes for the hyperbola with the following equation:

$\frac{(x-5)^2}{24}-\frac{(y+3)^2}{25}=1$

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