Question

what value represents the horizontal translation from the graph of the parent function ( f(x) = x^2 ) to the graph of the function ( g(x)=(x - 4)^2+2 )?
( \bigcirc -4 )
( \bigcirc -2 )
( \bigcirc 2 )
( \bigcirc 4 )

Explanation:

Step1: Recall horizontal translation rule

For parent function $f(x)$, $f(x-h)$ shifts right by $h$.

Step2: Match to given function

$g(x)=(x-4)^2+2$ is $f(x-4)+2$, so $h=4$.

Answer:

4