Question

PLEASE HELP? The standard form for the function is: P(x)=-5x^+120x-315.

Rewrite the function in vertex form.​​

Answer 1

P(x) = -5(x² - 12)² + 405

Explanation:

P(x) = -5x² + 120x - 315

Factor out -5 from the first two terms

P(x) = -5(x² - 24x) - 315

Complete the square

P(x) = -5(x - 12)² - (-5(-12)²) -315

P(x) = -5(x - 12)² + 720 - 315

P(x) = -5(x - 12)² + 405