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6.05 Transformations of functions

Adaptive
Worksheet

Interactive practice questions

How do we shift the graph of $y=g\left(x\right)$y=g(x) to get the graph of $y=g\left(x+6\right)$y=g(x+6)?

Move the graph to the left by $6$6 units.

A

Move the graph to the right by $6$6 units.

B
Easy
< 1 min

Consider the function $f\left(x\right)=\left|x-2\right|$f(x)=|x2|.

Easy
1 min

Consider the function $f\left(x\right)=\left|2x-2\right|$f(x)=|2x2|.

Easy
1 min

Consider the function $f\left(x\right)=\left|2x\right|$f(x)=|2x|.

Medium
1 min
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Outcomes

HSF.BF.A.1.B

Combine standard function types using arithmetic operations.

HSF.BF.B.3

Identify the effect on the graph of replacing f(x) by f(x) + k, kf(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. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

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