Question

Rewrite the equation in vertex form. y=x^(2)+8x+12

Answer 1

y = 1(x + 4)² - 4

Explanation:

Standard form: y = x² + 8x + 12

a = 1, b = 8, c = 12

Find the vertex (h, k):

h = -b/(2a) = -8/(2·1) = -4

k = f(-4) = (-4)² + 8(-4) + 12 = -4

vertex form: y = a(x - h)² + k

y = 1(x - -4)² + -4

Final answer: y = 1(x + 4)² - 4