# HYPERBOLA!

- Author:
- dthurston

- Topic:
- Hyperbola

## Directions:

1) Find the eccentricities of the curves on the board.
2) If you are given an eccentricity of e = 0.75, what do you know about
i) the type of curve you have
ii) the value of "b" on this curve
3) You are given a hyperbola on this sheet. Please drag the points "DRAG", "F1", "F2" etc. Record your observations below using the guide questions:
i) what happens to the "branches" of the hyperbola as you move the focus
closer to the vertex?
ii) how are D1, D2, and the length of the transverse axis related?

## Fill in the blanks for the following statement: A hyperbola is the locus containing all points for whom the ____________________ of the distances to the ____________________ is always the same.

First blank:

Second Blank: