Which equation represents y = - x2 - 2x + 3 in vertex form?

y = - (x + 1) ² + 4

Step-by-step explanation:

y = - x² - 2x + 3

First, factor the leading coefficient from the first two terms.

y = - (x² + 2x) + 3

Complete the square.

y = - (x² + 2x + 1 - 1) + 3

Simplify and factor.

y = - (x² + 2x + 1) + 1 + 3

y = - (x + 1) ² + 4