Question

How do you find the amplitude, period, and shift for `y=3Sin(2x)`?

Answer 1

Amplitude`=3`;Period`=pi` ; Shift `=0`

Explanation:

Compare with the general sinusoidal function`y= Asin(Bx+C)+D`
here `A=3 ; B=2*x; C=0, D=0` Hence Amplitude `=|A|=3`; Period `=2*pi/|B| =2*pi/2=pi`; Phase Shift `= 0` (since C=0); Vertical Shift `=0` (since D=0)