Assignment One

Charles Meyer



For Assigment One, I chose to investigate the equation: y= a sin(bx +c). While on the surface this seems to be a rather simple equation, changes made in the values of the variables: a, b, c greatly affect the graphs that are produced. I will begin by examining the equation at its simpliest form, y=1 sin(1x+0).

This equation creates a graph of a sin function that passes through the orgin with a maximum of 1 and a minimum of -1.

I will now experiment with changing the values, begining with the variable a, increasing the value to 2, 3 and so on.

As we can see, changing the variable a, changes the height of the graph. Let us now look at the variable b.

Variable b causes the sine wave to shorten the length between its maximums and minimums. Finally we will look at variable c.

Variable c changes the x-axis intercept of the wave.

Note that the value of the x intercept is the value that makes the part of the equation (x+1) equal to zero. So therefore a positive value for the variable c will shift the graph to the left, while a negative value will shift it to the right.



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