### Home > PC > Chapter 3 > Lesson 3.2.2 > Problem3-79

3-79.

The graphs of $f\left(x\right)$ and $g\left(x\right)$ are shown below. Find an expression in terms of $f\left(x\right)$ that will transform the graph into $g\left(x\right)$.

$g\left(x\right)$ is a vertical reflection of $f\left(x\right)$.

The function is then shifted to the right $3$ units.

The function is then shifted up $1$ unit.

$g\left(x\right) = −f\left(x\right)$

$g\left(x\right) = −f\left(x − 3\right)$

$g\left(x\right) = −f\left(x − 3\right) + 1$