The vertex of the parabola x 2 + 8x + 12y + 4 = 0 is

Question

Philoid · Accepted Answer

Given equation of the parabola is x² + 8x + 12y + 4 = 0

⇒ x² + 8x + 4 = - 12y

⇒ x² + 8x + 16 = - 12y + 12

⇒ (x + 4)² = - 12(y - 1)

Comparing with standard form of parabola (x - a)² = - 4b(y - c) we get,

⇒ vertex = (a, c) = (- 4, 1)

∴The correct option is A