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Perform and recognise vertical translation for sine and cosine curves and equations (rad)

Interactive practice questions

Consider the two graphs:

$A$A: $y=\sin x$y=sinx

$B$B: $y=\sin x+3$y=sinx+3

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What vertical shift of $y=\sin x$y=sinx results in the graph of $y=\sin x+3$y=sinx+3?

Translating the graph $4$4 units upwards.

A

Translating the graph $4$4 units downwards.

B

Translating the graph $3$3 units downwards.

C

Translating the graph $3$3 units upwards.

D
Easy
< 1min

Consider the two graphs:

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

$B$B: $y=\cos x+4$y=cosx+4

Easy
< 1min

Which of the following is the graph of $y=\sin x+4$y=sinx+4?

Easy
< 1min

Consider the function $y=\sin x+2$y=sinx+2.

Easy
3min
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