Find the Equation. Please check the answers and help. Thanks!

1.) Ellipse with center (0,0), foci on x-axis; x intercepts; major axis of length 12, minor acis of length 8.

I got : x^2/144 + y^2/64 = 1

2.) A parabola with vertex (0, 0) and focus (5, 0).

I got : y^2 = 20x

3.) Hyperbole with center at (0, 0), vertex (2, 0); passing through (4, 31/2 )

I don't know this one please help, confused with center and vertex and don't know what passing through means.

1 answer

last one is 3 and a half NOT 31/2