Hyperbolas Review

Front

What direction does the hyperbola open?

Back

Up and Down

Front

What is the formula for finding the value of c in a hyperbola?

Back

c² = a² + b²

Front

What are the vertices of the hyperbola?

Back

(0, 5) and (0, -5)

Front

Is the hyperbola vertical or horizontal?

Back

Vertical

Front

What are the asymptotes of the hyperbola in the picture?

Back

y = 2x and y = –2x

Front

What is the standard form of a vertical hyperbola?

Back

(y-k)²/a² - (x-h)²/b² = 1

Front

What do the values of a and b represent in a hyperbola?

Back

a is the distance from the center to the vertices, b is the distance from the center to the co-vertices.

Front

How do you find the foci of a hyperbola?

Back

The foci are located at (h, k±c) for vertical hyperbolas.

Front

What is the relationship between a, b, and c in a hyperbola?

Back

c² = a² + b² for hyperbolas.

Front

What is the significance of the center of a hyperbola?

Back

The center is the midpoint between the vertices and foci.