Answer:
D. (4, -4)
Step-by-step explanation:
Convert to vertex form by completing the square.
For a polynomial y = x² + bx + c, first add and subtract (b/2)² to the polynomial. Then factor.
Here, b = -8. So (b/2)² = (-8/2)² = 16.
y = x² − 8x + 12
y = x²− 8x + 16 − 16 + 12
y = (x − 4)² − 16 + 12
y = (x − 4)² − 4
The vertex is (4, -4).