Question

What is the standard form of this function?

f(x) = (x − 2)2 + 6

Answer 1

f(x) = x² - 4x + 10

Explanation:

the standard form of a quadratic function is

f(x) = ax² + bx + c ( a ≠ 0 )

given

f(x) = (x - 2)² + 6 ← expand the factor using FOIL

= x² - 4x + 4 + 6 ← collect like terms

= x² - 4x + 10 ← in standard form