Question

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)

Answer 1

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).