Sine Function

By Colleen Garrett

In this assignment I will be investigating the equation y=asin(bx+c) for different values of a, b, and c.

Click on the link below to watch the sine function as the value of a goes from -10 to 10.

You can see that altering a changes the amplitude of the function.  Note that when a is negative the function is reflected across the x-axis.

Altering a

For example, when a=2 the height of the function is 2.

Click on the link below to watch the sine function as the value of b goes from -10 to 10.  You can see that altering b changes the period of the function.  The period is equal to 2p/.  If >1 the period decreases.  If 0<<1 the period increases.

Altering b

For example, when =3 the period decreases and when =3/4 the period increases.

Click the link below to watch the sine function as the value of c goes from -10 to 10.  You can see that altering c moves the graph horizontally.  When c>0 the graph moves to the left by c/ and when c>0 the graph moves to the right by c/.

For example, if c=1 the graphÕs position moves to the left and if c=-2 the graphÕs position moves to the right.