Absolute Value Functions

NZ Level 7 (NZC) Level 2 (NCEA)

Find the equation of An Absolute Value Function

Consider the graph of a function $f\left(x\right)$`f`(`x`):

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What transformation is applied to the graph of $y=\left|x\right|$`y`=|`x`| to obtain the graph of $y=\left|x\right|-4$`y`=|`x`|−4?

translation of $4$4 units to the left

A

reflection about the $x$`x`-axis

B

translation of $4$4 units down

C

vertical stretching by a factor of $4$4

D

translation of $4$4 units to the left

A

reflection about the $x$`x`-axis

B

translation of $4$4 units down

C

vertical stretching by a factor of $4$4

D

Easy

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

Apply graphical methods in solving problems