Question

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

Answer 1

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

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

Explanation:

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]}