how do you graph y=-(1/4)sin(3/4x+pi/8? include the amplitude, period, vertical translation, horizontal shift, and table of values please.

Answer 1

The amplitude is 1/4.
Since the variable is x and not time, they should ask for the wavelength L, not the period.

2 pi/L = 3/4

L = (8/3)*pi

There is a horizontal shift of -pi/8 radians

We don't do plots. I suggest you make your own table of values and draw the graph. It will help you understand how the answers come about.