Question

Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c

Answer 1

f(x) = - 4x² + 24x - 20

Explanation:

Given

f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL

= - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4

= - 4x² + 24x - 36 + 16 ← collect like terms

= - 4x² + 24x - 20