# Lesson Worksheet: Equation of a Hyperbola Mathematics

In this worksheet, we will practice writing the equation of a hyperbola and finding a hyperbola’s vertices and foci using its equation and graph.

**Q1: **

Write the equation of the rectangular hyperbola passing through with asymptotes meeting at .

- A
- B
- C
- D
- E

**Q2: **

The graph shows a sketch of the hyperbola given by the equation .

Give the coordinates of the center .

- A
- B
- C
- D

Give the coordinates of the vertices and .

- A,
- B,
- C,
- D,

Give the coordinates of the foci and .

- A,
- B,
- C,
- D,

Give the equations of the asymptotes and .

- A,
- B,
- C,
- D,

**Q4: **

The graph shows a sketch of the hyperbola given by the equation .

Give the coordinates of the center .

- A
- B
- C
- D

Give the coordinates of the vertices and .

- A,
- B,
- C,
- D,

Give the coordinates of the foci and .

- A,
- B,
- C,
- D,

Give the equations of the asymptotes and .

- A,
- B,
- C,
- D,

**Q5: **

The graph shows a sketch of the hyperbola given by the equation .

Give the coordinates of the center .

- A
- B
- C
- D

Give the coordinates of the vertices and .

- A
- B
- C
- D

Give the coordinates of the foci and .

- A
- B
- C
- D

Give the equations of the asymptotes and .

- A
- B
- C
- D