Question

Describe the vertex of f(x) = –2(x + 3)^2 + 1.

maximum of (3, 1)

minimum of (3, 1)

maximum of (–3, 1)

minimum of (–3, 1)

none of the answer choices

Answer 1

Vertex form is f(x)=a(x-h)^2+k with h = -3, k = 1 here. Since a = -2 < 0 the parabola opens downward, so the vertex is a maximum at (−3, 1).