Answer:
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