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4.10 Transforming absolute value functions

Adaptive
Worksheet

Interactive practice questions

How do we shift the graph of $y=f\left(x\right)$y=f(x) to get the graph of $y=f\left(x\right)+4$y=f(x)+4?

Move the graph up by $4$4 units.

A

Move the graph down by $4$4 units.

B
Easy
< 1min

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)?

Easy
< 1min

Suppose that the $x$x-values of the $x$x-intercepts of the graph of $y=f\left(x\right)$y=f(x) are $-5$5 and $6$6.

Medium
4min

The table below shows values that satisfy the function $f\left(x\right)=\left|x\right|$f(x)=|x|.

Hard
4min
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Outcomes

MA.912.AR.4.3

Given a table, equation or written description of an absolute value function, graph that function and determine its key features.

MA.912.F.2.1

Identify the effect on the graph or table of a given function after replacing f(x) by f(x)+k,kf(x), f(kx) and f(x+k) for specific values of k.

MA.912.F.2.3

Given the graph or table of f(x) and the graph or table of f(x)+k,kf(x), f(kx) and f(x+k), state the type of transformation and find the value of the real number k.

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