Assignment 2

by

Johnie Forsythe


Lets consider the following equation of the form

We will vary the constant d which produces the following graphs:

NOTE: The colored box corresponds with the colored parabolas on the graph.

 

We notice that varying d translates each function along the x-axis. Therefore, varying d is a horizontal translation of the graph.

We can find the zeros (or x-intercepts) for each graph by setting y = 0 and solving for x.

Observations:

- The zeros for the graph are in the form

- Varying d does not change the shape of the graphs, only its position along the x-axis.

 

Click Here to view a Graphing Calculator file showing how the graph changes position as d changes.

 


Back to Johnie Forsythe's EMAT 6680 Homepage