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iGCSE (2021 Edition)

21.02 Transformations of trigonometric functions

Interactive practice questions

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

a

Identify the amplitude of the function.

b

Graph the function.

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Easy
< 1min

Consider the function $y=-5\cos x$y=5cosx.

Easy
1min

Plot the curve $y=2+\sin x$y=2+sinx.

Easy
< 1min

Consider the function $y=3\sin x+2$y=3sinx+2.

Medium
2min
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Outcomes

0607C3.8

Description and identification, using the language of transformations, of the changes to the graph of y = f(x) when y = f(x) + k, y = f(x + k).

0607E3.2G

Recognition of trigonometric, f(x) = a sin(bx); a cos(bx); tan x, function types from the shape of their graphs.

0607E3.8

Description and identification, using the language of transformations, of the changes to the graph of y = f(x) when y = f(x) + k, y = kf(x), y = f(x + k).

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