Chapter 7: Q. 5 (page 505)

Use transformations to graph the equation $y = 3 e^{x} - 2$ .

Short Answer

Expert verified

The graph is

Step by step solution

Step 1. Given Information

We are given the equation $y = 3 e^{x} - 2$ and we need to use transformations to graph it.

Step 2. Using transformations

From the concept of the vertical and horizontal shift we know, the graph of $g (x) = f (x + c) + k$ will be the graph of $f (x)$ shifted left or right by $c$ units depending upon the sign and up or down by $k$ units 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 $y = e^{x}$ is stretched vertically by $3$ units and vertically shifting the graph down by $2$ unis.

Step 3. Step 3. Plotting the graph

The graph of the equation is

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Use transformations to graph the equation $y = 3 e^{x} - 2$ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Using transformations

Step 3. Step 3. Plotting the graph

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Using transformations

Step 3. Step 3. Plotting the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

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Probability and Statistics

Study anywhere. Anytime. Across all devices.

Use transformations to graph the equation $y = 3 e^{x} - 2$ .