### All Precalculus Resources

## Example Questions

### Example Question #11 : Find The Eccentricity Of A Hyperbola

Find the eccentricity for the following hyperbola:

**Possible Answers:**

**Correct answer:**

Recall the standard form of the equation of a vertical hyperbola:

, where is the center

For a horizontal hyperbola, use the following equation to find the eccentricity:

, where

For the given hyperbola,

and

Thus,

### Example Question #31 : Hyperbolas

Find the eccentricity for the following hyperbola:

**Possible Answers:**

**Correct answer:**

Recall the standard form of the equation of a vertical hyperbola:

, where is the center

For a horizontal hyperbola, use the following equation to find the eccentricity:

, where

For the given hyperbola,

and

Thus,

### Example Question #13 : Find The Eccentricity Of A Hyperbola

Find the eccentricity of the following hyperbola:

**Possible Answers:**

**Correct answer:**

Recall the standard form of the equation of a vertical hyperbola:

, where is the center

We need to put the given equation into the standard form of the equation.

Start by grouping like terms together.

Factor out from the terms and from the terms.

Complete the squares. Remember to add the same amount to both sides of the equation!

Divide both sides by .

Factor both terms to get the standard equation.

For a horizontal hyperbola, use the following equation to find the eccentricity:

, where

For the given hyperbola,

and

Thus,