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Chapter 7: Q. 5 (page 505)

Use transformations to graph the equationy=3ex-2.

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given Information

We are given the equation y=3ex-2and we need to use transformations to graph it.

02

Step 2. Using transformations 

From the concept of the vertical and horizontal shift we know, the graph of g(x)=f(x+c)+kwill be the graph of f(x)shifted left or right by cunits depending upon the sign and up or down by kunits depending upon the sign.

The graph of g(x)=a.f(x)produces a dilation and it will be the graph of f(x)stretched vertically if a>1.

Here the original function y=exis stretched vertically by 3units and vertically shifting the graph down by2unis.

03

Step 3. Step 3. Plotting the graph 

The graph of the equation is

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