Question

What is the vertex of the function f(x) = x2 + 12x?

Answer 1

Answer: The correct answer is A (-6,-36)

Answer 2

We can start by figuring out the axis of symmetry.

y = x² + 12x = x (x + 12)

So roots are x = -12 or 0

Therefore axis of symmetry is x = (-12 + 0) / 2 = -6

We got x-coordinate of vertex. Now plug in x=-6 to solve for y.

y = (-6)² + 12(-6) = 36 - 72 = -36

Therefore vertex is (-6, -36).