Transformations of Functions

Transformations of Functions
Transformations of Functions
Transformations of Functions
Transformations of Functions
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(491 KB|3 pages)
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Standards
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This activity sheet presents a graphical representation of a piecewise function and asks students to graph 6 different transformations:

• y = f(-x)

• y = -f(x)

• y = -2f(x + 1) + 1

• y = 3f(x - 2) - 2

• y = f(∣x∣)

• y = ∣f(x)∣

A full set of solutions are included.

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Identify the effect on the graph of replacing 𝘧(𝘹) by 𝘧(𝘹) + 𝘬, 𝘬 𝘧(𝘹), 𝘧(𝘬𝘹), and 𝘧(𝘹 + 𝘬) for specific values of 𝘬 (both positive and negative); find the value of 𝘬 given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.
Total Pages
3 pages
Answer Key
Included
Teaching Duration
N/A
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