# The equation of the graph that is obtained from the graph of y = e x and is reflected about the line y = 4 . ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.5, Problem 18E

(a)

To determine

## To find: The equation of the graph that is obtained from the graph of y=ex and is reflected about the line y=4 .

Expert Solution

The equation of the graph is y=ex+8 .

### Explanation of Solution

The reflection of the graph of y=ex about the x-axis is y=ex .

The graph y=ex has y-intercept at y=1 .

So, its reflection will pass through y=1 .

To reflect the graph about the line y=4 add 8 to both sides so, the reflected graph will pass through y=4 .

Thus, the equation of the resultant graph is y=ex+8 .

(b)

To determine

### To find: The equation of the graph that is obtained from the graph of y=ex and is reflected about the line x=2 .

Expert Solution

The equation of the graph is y=ex+4 .