Assignment 1: Studying the Graph y = asin(bx+c)

The purpose of this assignment is to examine the graphs of the equation y=asin(bx+c) for different values of a, b, & c.

Click on the equation y=sinx, which will show the standard shape of the graph.

Click on the equation y=asinx, which
will show the graph when **b** and **c** are held constant and **a** is
changed.

Notice that as **a** is increased, the y-value of the graph
increases, but the position on the x-axis and y-axis does not change.

Click on the equation y=sinbx, which
will show the graph when **a** and **c** are held constant and **b** is
changed.

Note that the larger **b** is, the more compressed the graph
is. In other words, when b=2, the graph is more spread out than when b=3.
The graph is shifting on the x-axis and compressing as the value of **b**
increases.

Click on the equation y=sin(x+c),
which will show the graph when **a** and **b** are held constant and **c**
is changed.

Notice that the graph shifts on the x-axis by the value of c, but the shape of the graph does not change.