Question

Rewrite the quadratic function f(x)=-3(x-4)^2+5 in standard form

Answer 1

f(x) = 3x² - 24x + 53

Explanation:

Given

f(x) = 3(x - 4)² + 5 ← expand the factor using FOIL

= 3(x² - 8x + 16) + 5 ← distribute by 3 and simplify

= 3x² - 24x + 48 + 5

= 3x² - 24x + 53 ← in standard form