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

Answer:  The correct option is (C). (2, -5).

Step-by-step explanation:  The given function is

$g(x)=3x^2-12x+7.$

The vertex form of the function g(x) is $g(x)=3(x-2)^2-5~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that if the vertex form of a function f(x) is written as

$f(x)=a(x-h)^2+k,$

then its vertex is (h, k).

So, from equation (i), we can say that the vertex of function g(x) is

(2, -5).

Thus, (C) is the correct option.

Answer 2

Answer:

C. (2, -5)

Step-by-step explanation: