Answer
Shift by one unit to the right, two units up
Work Step by Step
We are given the function:
$f(x)=x^2-2x+3$
Rewrite the function by completing the square:
$f(x)=x^2-2x+1-1+3$
$f(x)=(x-1)^2+2$
We start with the parent function $p(x)=x^2$.
First shift $p(x)$ by one unit to the right to get the function $g(x)=(x-1)^2$.
Then shift the function $g(x)$ 2 units up to get the function $f(x)=(x-1)^2+2$.
Graph all transformations:
