Question

Write the standard form of the equation of the conic section with the given charateristics.

1. Parabola with vertex at (0, 0) and directrix at x = 5.

2. Circle with center at (3, -1) and radius 4.

3. Ellipse with foci at (4, 2) and (10, 2) and co-vertices at (7, 0) and (7, 4)

4. Hyperbola with vertex at (0, 4), focus at (0, 5), and center at (0, 1)