Find the equations for the following graphs Analyzing the gr

Find the equations for the following graphs: Analyzing the graphs carefully reveals that there are no vertical or horizontal shifts, so the equations are of the form A sin L x or a cos Lx.

Solution

1) amplitude , a =1

Half period = 2pi

So, period = 4pi

So, b = 2pi/4pi = 1/2

peak is at x =0 , so we select cos function

y = cos(x/2)

2) amplitude, a = 2

period = pi

b = 2pi/pi =2

y = 2

It passes through (0, 0) so we use sine function

y = 2sin(2x)