how do i find an equation for the hyperbola with the given information

i have absolutely no clue how to figure this one out

focus at (-4,0); vertices at (-4,4) and (-4,2)

Re: how do i find an equation for the hyperbola with the given information

Quote:

Originally Posted by

**alyse2526** i have absolutely no clue how to figure this one out

focus at (-4,0); vertices at (-4,4) and (-4,2)

1. Draw a sketch.

2. Determine the coordinates of the midpoint of the hyperbola.

3. Determine the value of the excentricity e (that's the distance between the midpoint and one focus)

4. Determine the length of the axis a (that's the distance between the midpoint and one vertex)

5. Calculate the length of the axis b using

6. Use the equation