How do you graph and list the amplitude, period, phase shift for $y=sin(3x)+5$ ?

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Answer 1 · 2016-10-12T20:48:54

Amplitude: $1$
Period: $(2pi)/3$
Phase shift: $0$
Vertical shift: $5$

Here is the general form: $y = Asin(Bx + C) + D$

Here is your equation $y = sin(3x) + 5$

The amplitude is, $A = 1$

The period is $T = (2pi)/B$ In your case, $T = (2pi)/3$

The phase shift is computed, using $theta = C/B$ . In your case, it is 0.

The vertical shift is D. In your case it is 5.

How do you graph and list the amplitude, period, phase shift for y=sin(3x)+5y=sin(3x)+5?