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?
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?
What is the equation of the new graph?
Khan Academy ResourcesAbsolute value graphs reviewScale & reflect absolute value graphsReflect functionsShift functionsScale functions verticallyGraph absolute value functionsShift absolute value graphsShifting absolute value graphsGraphing absolute value functionsScaling & reflecting absolute value functions: graphShifting functions introductionShifting functions examples

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