Cumulative Standards Review
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Start by applying a reflection across the y-axis.
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We want to determine the sequence of transformations that were used to obtain the graph of y=3(-x+3)3 from the parent function y=x3. Let's first look at the graphs of the parent and the transformed functions.
We will start with the parent function y=x3 and apply transformations one by one to obtain the given function. Let's begin by considering y=(-x)3, which is a reflection across the y-axis.
Now, let's take the graph of y=(-x)3 and translate it 3 units to the right. This is done by subtracting 3 from the x-variable. The resulting function after the translation is y=(-(x−3))3.