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33 votes
33 votes
Determine the period, amplitude, and phase shift of
f(x)=3cos2\left \{ x-(\pi )/(4)]+1

b) List the five critical points for the first cycle. (3 marks)

Use this information to sketch the graph off(x) for two

complete cycles. Determine
(1)/(4) wave and starting point.

Clearly label the scale on both axes. (3 marks)

User Annemartijn
by
2.9k points

1 Answer

24 votes
24 votes

->period =
(2\pi )/(2) =\pi

->a=3, shift
(\pi )/(4)

->right 1 unit up

Rest are shown in graph

Determine the period, amplitude, and phase shift off(x)=3cos2\left \{ x-(\pi )/(4)]+1 b-example-1
Determine the period, amplitude, and phase shift off(x)=3cos2\left \{ x-(\pi )/(4)]+1 b-example-2
User Latesha
by
2.6k points