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iGCSE (2021 Edition)

27.03 Vertical shifts and dilations of sine and cosine functions (Extended)

Interactive practice questions

Consider the function $y=-3\cos x$y=3cosx.

a

What is the maximum value of the function?

b

What is the minimum value of the function?

c

What is the amplitude of the function?

d

Select the two transformations that are required to turn the graph of $y=\cos x$y=cosx into the graph of $y=-3\cos x$y=3cosx.

Vertical dilation.

A

Horizontal translation.

B

Reflection across the $x$x-axis.

C

Vertical translation.

D
Easy
1min

Which combinations of transformations could be used to turn the graph of $y=\cos x$y=cosx into the graph of $y=-\cos x+3$y=cosx+3?

Easy
1min

Consider the two graphs:

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

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

Easy
< 1min

The graph of $y=\sin x$y=sinx has been transformed into the graph of $y=\sin x-2$y=sinx2.

Easy
< 1min
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Outcomes

0580E6.3A

Recognise, sketch and interpret graphs of simple trigonometric functions. Graph and know the properties of trigonometric functions.

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