Solve for the standard and general equation of the parabola given its different properties.

Show all necessary solutions and box your final answer

6. vertex is at the origin; focus is at (0, 3).

7. vertex is at the origin and directrix is given by y = 5

8. vertex is at (2, -2) and directrix is given by x = 4.

9. focus is at (-5, 3) and directrix y = -3

10. focus is at (2, -3) and directrix x = -4