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.
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.
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.