Question

Rewrite y = -(x + 2)2 – 5 in standard form.

Answer 1

y = - x² - 4x - 9

Explanation:

Given

y = - (x + 2)² - 5 ← expand (x + 2)² using FOIL

= - (x² + 4x + 4) - 5 ← distribute parenthesis by - 1

= - x² - 4x - 4 - 5 ← collect like terms

= - x² - 4x - 9 ← in standard form