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. $\displaystyle (M(x_M , y_M))$
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 $\displaystyle e^2=a^2+b^2$
6. Use the equation
$\displaystyle \frac{(x-x_M)^2}{a^2} - \frac{(y-y_M)^2}{b^2}=1$