Question

What is the standard form for the quadratic function?
f(x) = (x – 3)2 + 5​

Answer 1

f(x) = x² - 6x + 14

Explanation:

Standard form is ax² + bx + c = 0 or f(x) = ax² + bx + c

So we are going to expand the equation and combine like terms:

f(x) = (x - 3)² + 5

f(x) = x² - 3x - 3x + 9 + 5

f(x) = x² - 6x + 9 + 5

f(x) = x² - 6x + 14