Thread: How do i make a sine function from a graph?

I was given a graph, and i assigned an axis and plotted points. i have the max, min, principal axis, amplitude, and period but i dont know now how to make a function in A sin B(x-c) + D form.
Maximum - 6.45
Minimum - 1.00
Principal axis - 3.725
amplitude - 2.725
Period - 9.2

I uploaded a not exact picture of the graph, its the blue line.

Hello mathnerd501

Welcome to Math Help Forum!

Originally Posted by mathnerd501

I was given a graph, and i assigned an axis and plotted points. i have the max, min, principal axis, amplitude, and period but i dont know now how to make a function in A sin B(x-c) + D form.
Maximum - 6.45
Minimum - 1.00
Principal axis - 3.725
amplitude - 2.725
Period - 9.2

I uploaded a not exact picture of the graph, its the blue line.

For the function :

The amplitude is (assuming )

The maximum value is

The minimum value is

The period is

The principal axis is where

If you plug in the values that you've been given, you should be able to write down (or easily work out) all the values. Can you do this OK?

Grandad