NZ Level 7 (NZC) Level 2 (NCEA)
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Transformations of Absolute Value Functions

Interactive practice questions

If the graph of $y=\left|x\right|$y=|x| is translated $5$5 units down, what is the equation of the new graph?

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If the graph of $y=\left|x\right|$y=|x| is translated $5$5 unit(s) left and $3$3 unit(s) down, what is the equation of the new graph?

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

If the graph of $y=\left|x\right|$y=|x| is stretched vertically by a factor of $4$4 and reflected across the $x$x-axis, what is the equation of the new graph?

Outcomes

M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

91257

Apply graphical methods in solving problems

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