The Hyperbola Worksheet with Answer Key

What's on the worksheet

1. Find the center, the vertices, the foci and the asymptotes of each hyperbola.
   \dfrac{y^2}{36} - \dfrac{x^2}{64} = 1\dfrac{(y - 3)^2}{7} - \dfrac{(x + 1)^2}{9} = 1\dfrac{(x - 4)^2}{18} - \dfrac{(y + 2)^2}{18} = 1
2. A hyperbola has foci (−14, −4) and (12, −4) and eccentricity 1312.
3. A hyperbola has vertices (0, 2) and (0, −2) and passes through the point (3, 4).
4. Write 4x² - 5y² - 16x - 30y - 9 = 0 in standard form.
5. Every hyperbola in this item has its center at the origin and the asymptotes y = 2x and y = -2x.
7. The cooling tower of a power plant is shaped so that every vertical cut through its central axis is a hyperbola.