Q:

Use the given information to write an equation for each parabola below: The parabola has focus (4, –1) and directrix y=–4

Accepted Solution

A:
Answer:The answer to your question is:Step-by-step explanation:DataFocus (4, -1)directrix = - 4Processp = 3/2Vertex (4, -7/2)Vertical parabola  (x - h)² = 4p(y - k)                               (x - 4)² = 4(3/2)(y + 7/2)                               ( x - 4)² = 6(y + 7/2)                               x² - 8x + 16 = 6y + 21                               x² - 8x - 6y - 5 = 0