How do you graph # y=6cosx#?

1 Answer

Answer:

See below:

Explanation:

We can start with the graph of #y=cosx#:

graph{cosx [-6.25, 6.25, -8, 8]}

The graph runs #-2pi<=x<=2pi#. Max #y = 1# at #x=0, -2pi, 2pi#; Min #y = -1# at #x=-pi, pi#. And the x-intersects are at #x=pi/2, (3pi)/2, -pi/2, -(3pi)/2#.

So how does the graph change? The equation #y=6cosx# will increase the y result for any x by 6 - so in essence we're just moving the Max y and Min y marks from 1 and -1 to 6 and -6. That looks like this:

graph{6cosx [-6.25, 6.25, -8, 8]}