Answered

Which function represents a reflection of ƒ(x) = 2x?

h(x) = 2^x + 1

h(x) = 2^x - 1

h(x) = 2^x - 1

h(x) = 2^-x

Verified Answer :

apologiabiology

a reflection across the x axis means times the whole thing by -1
reflect across y axis  means multiply every x by -1

so we got
from f(x)=2x
a reflection across either axis results in f(x)=-2x
but wat
why we have exponents

I pick the last option, h(x)=2^-x

Answer: \(h(x) = 2^{-x}\)

Step-by-step explanation:

Here the given function is,

\(f(x) = 2^x\)

Let (x,y) are the coordinates of the above exponential function,

By the rule of reflection about x-axis,

\((x,y)\rightarrow (-x,-y)\)

Thus, in the transformed figure that is obtained after the reflection about x-axis,

x is replaced by -x and y is replaced by -y,

Let h(x) = - f(x)

Hence, the transformed figure is,

\(h(x) = 2^{-x}\)

⇒ Last Option is correct.