Question

How do you sketch `y=3 - sin(x)`?

Answer 1

graph{3-sinx [152.03, 188.41, -5.06, 13.14]}

You take test values of x and plot y accordingly. graph{3-sin(x) [97.46, 243, -32.36, 40.44]}

Explanation:

Most preferable values for x would be:-

0
45
60
90
120
135
180
270
360

So remember that
sin0=0
sin45=1/√2
sin60=√3/2
sin90=1
sin120=√3/4
sin135=1/√2
sin180=0
sin270=-1
sin360=0

So from 3, subtract these values and create a sketch. Plot the x-axis with just `pi`/2, `pi` and 2`pi`. (90, 180, and 360). You know which values like in between, so plot them with rough assumptions and join the lines. This graph would completely be above 0, in terms of y as if a minus value is attained for sinx, it's made into a positive value as 3 - (eg.sin270=-1) so, 3-(-1)=4.
In sketches only the shape of the graph and your workings matter, so compare the shape with the graph I've attached with this answer.