Question

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

Answer 1

`"see explanation"`

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"`

Answer 2

Graphs

Explanation:

Compare the graphs:

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

versus:

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