Question

F(x) = 8x^2 + 8x - 12 in vertex form

Answer 1

y=8x2+8x−12

Explanation:

Rewrite in vertex form and use this form to find the vertex (h,k).

(4,4)

Answer 2

f(x) = (x + 4)² - 4

Explanation:

Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:

f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²

Simplify:

f(x) = (x² + 8x + 16) + 12 - 16

Subtract to find the 'k' value:

f(x) = (x + 4)² - 4. This is the equation in vertex form.