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 $\displaystyle A\sin B(x-C)+D$:The amplitude is $\displaystyle A$ (assuming $\displaystyle A > 0$)

The maximum value is $\displaystyle D+A$

The minimum value is $\displaystyle D-A$

The period is $\displaystyle \frac{2\pi}{B}$

The principal axis is where $\displaystyle x = C$

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