# How do you use the graph of #f(x)=4^x# to describe the transformation of #g(x)=4^x+1#?

##### 2 Answers

Jun 28, 2017

#### Explanation:

#"in general adding a value say k to f(x) is equivalent to"#

#"a vertical shift"#

#"that is " f(x)+-k" moves f(x) vertically"#

#uarr" if + k" darr" if -k"#

#rArr"the graph of " g(x)" is the graph of f(x) moved vertically up by 1 unit"#

Jun 28, 2017

Graphs

#### Explanation:

Compare the graphs:

graph{4^x [-10, 10, -5, 5]}

versus:

graph{4^x+1 [-10, 10, -5, 5]}