How do you graph #f(x)= 2 sin 4x#?

1 Answer
Trevor Ryan.
Oct 18, 2015

A general sine graph of form #y=AsinBx# has amplitude A and period #360^@/B#.

So in this case, #y=2sin4x# has amplitude #2# which is the maximum displacement from the x-axis, and period #T=360^@/4=90^@=(pi)/2 rad# and represents the distance on the x-axis for 1 complete cycle.

So the graph becomes :

graph{2sin(4x) [-4.385, 4.384, -2.19, 2.195]}

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