y=sin(2x)+1

Question

find amplitude , period , phase shift , and vertical shift

Answer 1

Amplitude is the number in front of the actual trig function.  Here you have none, so the amplitude is the base function amplitude of 1.

 

The period is based on the 2 in front of the x.  A typical sin period is 2pi, but yours is halved by the two in front.  Your period is pi.

 

There is no phase shift, because nothing is added to the x piece inside the sin function.  A phase shift would look something like sin(2x+pi)

 

The vertical shift is the +1 at the end.