Describe the parent function, then use the graphing calculator.
Graph:
Tranformations:
A reflection in the x-axis.
A horizontal translation 1 unit to the right.
A vertical translation 12 units 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 g is a a reflection in the x-axis, followed by horizontal translation 1 unit to the right, and a vertical translation 12 units down.
