Answer:
(2, -5)
Step-by-step 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).
