Describe the parent function, then use the graphing calculator.
Graph:
Tranformations:
A vertical stretch by a factor of 3.
A reflection in the x-axis.
A vertical translation 1 unit down.
Practice makes perfect
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 Y= and writing their rules in the first and second rows.
Next, by pushing 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 h is a vertical stretch by a factor of 3, followed by a reflection in the x-axis, and a vertical translation 1 unit down.
