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CanadaON
Grade 12

Single transformations of sine and cosine

Interactive practice questions

Consider the two graphs:

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

$B$B: $y=\sin x-2$y=sinx2.

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What vertical shift of $y=\sin x$y=sinx results in the graph of $y=\sin x-2$y=sinx2?

Translating the graph $3$3 units upwards.

A

Translating the graph $3$3 units downwards.

B

Translating the graph $2$2 units downwards.

C

Translating the graph $2$2 units upwards.

D
Easy
< 1min

Consider the two graphs:

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

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

Easy
< 1min

Consider the function $y=\sin x+4$y=sinx+4.

Easy
5min

Consider the function $y=\cos x+2$y=cosx+2.

Easy
3min
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Outcomes

12F.B.2.4

Determine the amplitude, period, and phase shift of sinusoidal functions whose equations are given in the form f(x) = a sin (k(x – d)) + c or f(x) = a cos(k(x – d)) + c, with angles expressed in radians

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