Question

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

Answer 1

y = -(x + 1)² + 4

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