A1.F.2.2

Recognize the parent functions 𝑓(𝑥) = 𝑥 and 𝑓(𝑥) = |𝑥|. Predict the effects of vertical and horizontal transformations 𝑓(𝑥 + 𝑐) and 𝑓(𝑥) + 𝑐, algebraically and graphically.

Example Problems
The graph of is shifted to the left by 5 units.

What is the equation of the new graph?


Evaluate the
definite integral.
The graph of is shifted up by 4 units.

What is the equation of the new graph?
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