Exercise 30 Page 9

The given function is an absolute value function, so its parent function is $y=|x|.$ We will start by graphing both functions in the graphing calculator. Then we will compare them to describe the transformations.

Graphing the Functions

We can draw the functions in the calculator by pushing $\boxed{\text{Y}=}$ and writing their rules in the first and second rows.

Next, by pushing $\boxed{\text{GRAPH}},$ the calculator will draw the graphs of the functions.

Comparing the Functions

Having drawn our functions, we can describe the transformations.

As we can see, the graph of $f$ is a vertical shrink by a factor of $\frac{3}{4}$ and a vertical translation $1$ unit up.