Sine Graphs Equation Meaning

158 Views Asked by At

What do each of these numbers mean in this equation for sine graphs? y = -3sin[2(x-30)] + 1

I know 1 = shift up What does the rest mean? thanks.

1

There are 1 best solutions below

8
On

3 is the amplitude but it is negative so it reflects the graph about the x axis. The 2 cuts the period by 1/2 because it is computing the inputs twice as fast as normal. The minus 30 means the graph will be shifted right 30 units because to get a point here you have to plug in that point plus 30 to cancel out the 30. And finally the plus 1 shifts the graph up 1 unit.