Question

What is the period of the graph y=1/2sin (pix)+3? A- 3 B- 1/2 C-pi D-2

Answer 1

The period is 2.

Normally the period of sin(x) is 2pi, but the pi inside the sin(pix) is a horizontal compression by a factor of 1/pi.  So 2pi·1/pi = 2

The "1/2" and "+3" do not impact the period.  Those just impact the amplitude (vertical aspect) of the graph.