Use the given information to write an equation for each parabola below: the parabola has vertex at (0, 7) and directrix x=–5

The answer to your question is:    y² - 20x - 14y + 49 = 0

Step-by-step explanation:

Data

Vertex (0, 7)

Directrix = x = -5

p = -5

horizontal parabola

Formula

                     (y - k)² = 4p (x - h)

                     ( y - 7)² = 4(5)(x - 0)

                     y² - 14y + 49 = 20x

                     y² - 20x - 14y + 49 = 0