Answer
please see image
.
Work Step by Step
$y =x^{2}-2x+2=(x^{2}-2x+1)+1$
$y=(x-1)^{2}+1$
1. Parent function $y =f(x)=x^{2}$
( Create a table with a selection of values for x,
arriving at ordered pairs (x,f(x)).
Plot them and connect with a smooth curve)
2. $y=(x-1)^{2}+1=f(x-1)+1$
Shift the graph 1 units to the right,
and then upward by 1 unit.
Use the table (x,f(x)) to plot the points
$(x+1, \ \ f(x)+1)$
and join with a smooth curve)
