New Zealand
Level 7 - NCEA Level 2

# 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?

Easy
Less than a minute

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