Question

What is the vertex of g(x)=3x3x^2-12x12x+7 ​

Answer 1

(2, -5)

Explanation:

g(x) = 3x² − 12x + 7

Complete the square.

g(x) = 3 (x² − 4x) + 7

g(x) = 3 (x² − 4x + 4) + 7 − 3(4)

g(x) = 3 (x − 2)² + 7 − 12

g(x) = 3 (x − 2)² − 5

The vertex is at (2, -5).