iGCSE (2021 Edition)
4.07 Absolute value functions
Interactive practice questions
Which of the following options describes a method for sketching a graph of $y=\left|f\left(x\right)\right|$y=|f(x)|, supposing we already have a graph of $y=f\left(x\right)$y=f(x)?
Reflect the graph of $y=f\left(x\right)$y=f(x) over the $x$x-axis.
A
Reflect the parts of the graph of $y=f\left(x\right)$y=f(x) over the $x$x-axis where $f\left(x\right)<0$f(x)<0.
B
Reflect the parts of the graph of $y=f\left(x\right)$y=f(x) over the $y$y-axis where $x<0$x<0.
C
Reflect the parts of the graph of $y=f\left(x\right)$y=f(x) over the $x$x-axis where $f\left(x\right)>0$f(x)>0.
D
Easy
< 1min
Consider the graph of $y=f\left(x\right)$y=f(x) below.
Easy
1min
Consider the graph of $y=f\left(x\right)$y=f(x) below.
Easy
2min
Consider the function $y=\left|x\right|$y=|x|.
Easy
< 1min
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