This write-up is an exploration of the curves and using Graphing Calculator 2.7.1.

Let's first take a look at how the "a"
value in effects the graph. The following
are graphs with the "a" value of **.1**, **.5**,
**1**, **2**, **5**, **10**.

a=**.**1 purple
graph **: **a=**.**5 red graph **:
**a=1 blue graph **:
**a=2 green graph **:
**a=5 lt.blue graph **:
**a=10 yellow graph

We can see from these examples that the "a" value is definitely either narrowing or expanding the graph depending upon the value of a. As the value of "a" gets larger the graph gets narrower. As the value of "a" decreases to zero the graph expands toward the x-axis.

**Question:** What do you think negative values
of "a" will do to the graph? Click
** here** for the answer.

Now let's take a look at how
the value of "d" effects the graph of . The following are graphs with the "d"
value of **-10**, **-5**, **-3**, **-2**, **-1**,
**0**, **2**, **3**, **5**, **10**.

We can see the the "d" value effects the graph of in the graphs above by shifting the graph of

either right or left depending
upon the value of "d." Click ** here** for a better presentation of the translation
of the graph.

The value of "a" in dialates the graph. If |a| is greater than 1, then the graph will get narrower toward the y-axis. If |a| is between 0 and 1, then the graph will expand toward the x-axis.

The value of "d" in translates the graph of . If "d" is a positive value, the graph will shift to the right "d" units. If the "d" value is negative, then the graph will shift to the left |d| units.