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

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