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AustraliaVIC
VCE 12 Methods 2023

3.02 Transformation of sine and cosine

Interactive practice questions

Consider the two graphs:

$A$A: $y=\cos x$y=cosx

$B$B: $y=\cos x+2$y=cosx+2.

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What vertical shift of $y=\cos x$y=cosx results in the graph of $y=\cos x+2$y=cosx+2?

Translating the graph $3$3 units upwards.

A

Translating the graph $2$2 units downwards.

B

Translating the graph $2$2 units upwards.

C

Translating the graph $3$3 units downwards.

D
Easy
< 1min

The function $y=\cos x+5$y=cosx+5 is translated $4$4 units up.

Easy
< 1min

Which of the following transformations of $y=\cos x$y=cosx has a different amplitude to $y=\cos x$y=cosx?

Easy
< 1min

Determine the equation of the graphed function given that it is of the form $y=a\sin x$y=asinx or $y=a\cos x$y=acosx.

Easy
< 1min
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Outcomes

U34.AoS1.7

the key features and properties of a function or relation and its graph and of families of functions and relations and their graphs

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