Answer
See graph
Work Step by Step
We are given the function:
$f(x)=3(x-2)^2+1$
We start graphing with the basic function $a(x)=x^2$.
We horizontally shift $a(x)$ by 2 units to the right to get $b(x)=(x-2)^2$.
Then we vertically stretch $b(x)$ by a factor of 3 to get $c(x)=3(x-2)^2$.
Finally we vertically shift $c(x)$ one unit upward to get $f(x)=3(x-2)^2+1$.
We use 3 points: $(1,4),(2,1),(3,4)$.
