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