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.
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