5. Find the equation of the ellipse with given properties. Graph by hand.
Center at (2, -2); vertex at (7, -2); focus at (4,-2)
6. Find the equation of the hyperbola with given properties. Graph by hand.
Focus at (0,6); vertices at (0, -2) and (0,2)
7. Find the center, vertices, foci, and asymptotes for the hyperbola. Graph by hand.
$\frac{(y+3)^2}{4} - \frac{(x-2)^2}{9} = 1$