Pearson Algebra 2 Common Core, 2011
PA
Pearson Algebra 2 Common Core, 2011 View details
Cumulative Standards Review

Exercise 6 Page 899

Start by applying a reflection across the axis.

G

Practice makes perfect

We want to determine the sequence of transformations that were used to obtain the graph of from the parent function Let's first look at the graphs of the parent and the transformed functions.

We will start with the parent function and apply transformations one by one to obtain the given function. Let's begin by considering which is a reflection across the axis.

Now, let's take the graph of and translate it units to the right. This is done by subtracting from the variable. The resulting function after the translation is

Before we continue, let's simplify the obtained function using the Distributive Property.
Finally, we can stretch the graph of the function by a factor of This is done by multiplying the resulting function by
To summarize, we obtained the desired transformed function after a reflection of the parent function across the axis, a shift units to the right, and a stretch by a factor of Therefore, the correct option is G.