Question

What is h(x) = -3x2 -6x +5 written in vertex form?

Answer 1

Answer:

h(x) = -3 (x + 1)² + 8

Step-by-step explanation:

h(x) = -3x² − 6x + 5

Factor the leading coefficient from the first two terms.

h(x) = -3 (x² + 2x) + 5

Complete the square.

h(x) = -3 (x² + 2x + 1 − 1) + 5

h(x) = -3 (x² + 2x + 1) + 3 + 5

h(x) = -3 (x + 1)² + 8