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
