Give the standard form of the equation of the parabola with the given characteristics. focus: (–3, 13) directrix: y=0

Question

Give the standard form of the equation of the parabola with the given characteristics.

focus: (–3, 13) directrix: y=0

Answer 1

Vertex: (-3, (13 - 0)/2) = (- 3, 13/2); 2p = 13; p = 13/2;

Equation: (x + 3)² = 4·13/2(y - 13/2); (x + 3)² = 26(y - 13/2)