Question

How do you sketch `y = 5 sin 2x`?

Answer 1

Here,
Since it is sin2x, for its periodicity
x= 360
or,2x= 360
So, x= 180
which means that this graph completes one cycle in 180 degrees or 1pie.

Now the coefficient 5 means that whatever value you recieve from sin2x, you multiply it with 5. graph{5sin(2x) [-20, 20, -10, 10]}

Here you see the amplitude of height instead of 1 is 5.