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

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Answer 1 · 2018-07-15T19:34:02

parent function: $g(x) = x^2$

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

Given: $f(x) = y = (x - 2)^2 + 2$

The parent function is $g(x) = x^2$

$f(x)$ is shifted 2 to the right $(x-2)$ and $+2 => 2$ up

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

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