Question

Let f(x)=x^2-4x+1. write f(x) in standard form

Answer 1

$y = x^2 - 4x + 1$

The method to change it to the form $y = a(x-h)^2+k$ is to complete the square.
$y=x^2-4x+1 \\ y-1 = x^2-4x \\ y-1+4 = x^2-4x+4 \\ y+3=(x-2)^2 \\ y=(x-2)^2-3$