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Question

Question: The equation of the parabola whose vertex is at (2, –1) and focus at (2, –3) is...

The equation of the parabola whose vertex is at (2, –1) and focus at (2, –3) is

A

x2 + 4x – 8y –12 = 0

B

x2 – 4x + 8y + 12 = 0

C

x2 + 8y = 12

D

x2 – 4x + 12 = 0

Answer

x2 – 4x + 8y + 12 = 0

Explanation

Solution

Let the equation X2 = –4ay

(x –2)2 = –4(2) (y + 1)

x2 –4x + 8y + 12 = 0