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Hong Kong
Stage 4 - Stage 5

Graphing Absolute Value Functions

Interactive practice questions

Consider the function $y=\left|x\right|$y=|x|.

a

Complete the table.

$x$x $-2$2 $-1$1 $0$0 $1$1 $2$2
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Hence sketch a graph of the function.

Loading Graph...
c

State the equation of the axis of symmetry.

d

State the coordinates of the vertex.

Vertex $=$=$\left(\editable{},\editable{}\right)$(,)

e

Write the equation and gradient for the two lines that make up the graph of the function.

Equation Gradient
$x<0$x<0 $y$y$=$=$\editable{}$ $\editable{}$

$x>0$x>0

$y$y$=$=$\editable{}$ $\editable{}$
Easy
4min

Graph $y=3\left|x\right|$y=3|x|.

Easy
< 1min

Graph $y=-3\left|x\right|$y=3|x|.

Easy
< 1min

Consider the function $y=3\left|x\right|-3$y=3|x|3.

Easy
5min
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