Chapter 7.6, Problem 48PPS

To determine

To use the transformation to graph the given function

Explanation of Solution

Given:

  $y=4{(2)}^{-x}$

Hence, the parent function will be: $y=2^{-x}$

To use the transform to graph the given function, the following steps have to be followed.

Step 1: Graph the parent function.

Calculation for graph:

Consider $y=2^{-x}$

Values of x	Values of y
0	1
-1	2
1	0.5
-2	4
2	0.25

By taking different values of x , the graph can be plotted.

Graph:

  

Step 2: Now vertically stretch the obtained graph 4 times.

  

Conclusion:

So, by following the steps the graph of the given function can be transformed.