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Algebra 1 - Precalculus

9.05 Hyperbolas

Interactive practice questions

For any graph of a hyperbola, which of the following statements describe the locations of the foci, vertices, and center with respect to one another? Select all that apply.

The foci are further from the center than the vertices.

A

The center is located at the midpoint of the two vertices.

B

The foci are closer to the center than the vertices.

C

The center is located at the midpoint of the two foci.

D
Easy
1min

The graph of $\frac{x^2}{16}-\frac{y^2}{9}=1$x216y29=1 is shown below.

Easy
4min

The graph of $\frac{x^2}{9}-\frac{y^2}{16}=1$x29y216=1 is shown below.

Easy
5min
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Outcomes

G.GPE.A.3

(+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.

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