# How do you sketch the graph of y=(x-2)^2+2 and describe the transformation?

Jul 15, 2018

parent function: $g \left(x\right) = {x}^{2}$

$f \left(x\right)$ is shifted $2$ to the right and $2$ up

#### Explanation:

Given: $f \left(x\right) = y = {\left(x - 2\right)}^{2} + 2$

The parent function is $g \left(x\right) = {x}^{2}$

$f \left(x\right)$ is shifted 2 to the right $\left(x - 2\right)$ and $+ 2 \implies 2$ up

graph{(y-x^2)(y-(x-2)^2 - 2)= 0 [-5, 5, -5, 10]}