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6.01 Reflections

Interactive practice questions

The graphs of $f\left(x\right)$f(x) and $g\left(x\right)$g(x) are shown below.

Which transformation has been applied to $f\left(x\right)$f(x) to produce $g\left(x\right)$g(x)?

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$g\left(x\right)=f\left(x\right)$g(x)=f(x)

A

$g\left(x\right)=-f\left(-x\right)$g(x)=f(x)

B

$g\left(x\right)=f\left(-x\right)$g(x)=f(x)

C

$g\left(x\right)=-f\left(x\right)$g(x)=f(x)

D
Easy
< 1min

The graph of a function $f\left(x\right)$f(x) is shown.

Which of the following options correctly shows the graph of $-f\left(x\right)$f(x)?

Easy
< 1min

Consider the following.

Easy
1min

The graph of $y=f\left(-x\right)$y=f(x) is a reflection of the graph of $y=f\left(x\right)$y=f(x) across the $x$x-axis.

True or false?

Easy
< 1min
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MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

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