What is the vertex of the graph of the function below?

y = x^2 - 8x + 12

O A. (2,0)

O B. (4,0)

O C. (2,-4)

O D. (4,-4)

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).