Question

If you flip the graph of the exponential function


`f(x) = {2}^(x)`
over the x-axis what is the equation of the new function?

A.

`g(x) = \frac{1}{ {2}^(x) }`
B.

`g(x) = {2}^( - x)`
C.

`g(x) = {2}^(x) - 1`
D.

`g(x) = { - 2}^(x)`

Answer 1

"flipping" over a line means reflection about the line.

Reflection about the x-axis is the negation of the expression.

For example,

g(x)=-f(x) where g(x) is the reflection of f(x) about the x-axis.

So if f(x)=2^x, then

g(x)=-2^x