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Graphing Trig Functions, y=3sin(x) + 4

Q: How do I graph y=3sin(x) + 4?

A: Remember that the standard form for a trigonometric equation is:

y=A*sin(B(x-C)) + D

In your case A=3, B=1, C=0 and D=4

The A=3 term means that the graph is stretched vertically 3 units.
B=1 and C=0 mean that the period of the graph is 2*Pi, and there is no horizontal (left-to-right) displacement.
D=4 means it is shifted up 4 units.

Note that the new range of your graph is from y=1 to y=7, a total of 6 units (range=A*2).