How do you determine the amplitude, period, horizontal shift and vertical shift of the function #8-sin(3x + pi)-1#?

1 Answer
bp
Jun 23, 2015

Amplitude =1, Period = #(2pi)/3#, Horizontal shift= 0, Vertical shift =7

Explanation:

Write the function in the standard form y= A sin B(x-C) +D, to get A as amplitude, Period as #(2pi)/B#, C as horizontal shift and D as vertical shift.
Accordingly, the given function would be y= #sin 3x# +7
Amplitude is thus 1, Period is #(2pi)/3#, there is no horizontal shift. Vertical shift is 7

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