Question

Which equation represents y = x^2 + 16x + 70 in vertex form?

y = (x + 8)^2 − 16


y = (x + 8)^2 − 64


y = (x + 8)^2 + 68


y = (x + 8)^2 + 6

Answer 1

Answer: D

Explanation:

y = x² + 16x + 70

-70 -70

y - 70 = x² + 16x next, complete the square by adding
`((16)/(2))^(2)` to both sides

y - 70 + 64 = x² + 16x + 64 remember that x² + 16x + 64 is a perfect square of (x - 8)²

y - 6 = (x + 8)²

+6 +6

y = (x + 8)² + 6