# How do you sketch #y=1-1/2e^-x#?

##### 1 Answer

May 14, 2017

Graph in sections, one at a time. See below.

#### Explanation:

First, graph

graph{e^x [-10, 10, -5, 5]}

Second, flip along the y-axis by negating x

graph{e^(-x) [-10, 10, -5, 5]}

Third, flip along the x-axis by negating the

graph{-e^(-x) [-10, 10, -5, 5]}

Fourth, raise the graph vertically by +1

graph{1-e^(-x) [-10, 10, -5, 5]}

Finally, change the shape by 1/2

graph{1-(1/2)e^(-x) [-10, 10, -5, 5]}