# 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,

Q3:

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