The function g (x) = 3x2 - 12x + 7 written in vertex form is g (x) = 3 (x - 2) 2 - 5. What is the vertex of g (x) ?

(-6, - 5)

(-2, - 5)

(2, - 5)

(6, - 5)

Hello!

For quadratics, vertex form is: f (x) = a (x - h) ² + k, and in this equation, h, k is the vertex. Also, h is the x-value and k is the y-value, so the ordered pair is (h, k).

Since the given equation is in vertex form, 2 is the h value, and - 5 is the k value.

Therefore, the vertex of g (x) is (2, - 5).