Question

A parabola opens to the left. Which could be the equation of the parabola?
(x – 4)2 = 4(y + 3)
(x – 4)2 = –4(y + 3)
(y – 4)2 = 4(x + 3)
(y – 4)2 = –4(x + 3)

Answer 1

A parabola that opens left has the form (y - k)^2 = 4p(x - h) with p < 0. That matches

(y – 4)^2 = –4(x + 3)

(h = -3, k = 4, 4p = -4 → p = -1), so the parabola opens to the left.