Find the center, vertices, foci, and eccentricity of the ellipse.
$\frac{(x+5)^2}{12} + \frac{(y-4)^2}{16} = 1$
center
$(x, y) = (-5,4)$
vertices
$(x, y) = (-5,0)$ (smaller y-value)
$(x, y) = (-5,8)$ (larger y-value)
foci
$(x, y) = (-5,2)$ (smaller y-value)
$(x, y) = (-5,6)$ (larger y-value)
eccentricity
$\frac{1}{2}$
Sketch the ellipse.
