Question

How do you write g(x) as a reflection of `f(x)= 2/5 (10)^x` across the x-axis?

Answer 1

`f(x)=-2/5(10)^x`

Explanation:

A point `(x,y)` when reflected across `x`-axis changes to `(x,-y)`

Hence reflection of `y=f(x)=2/5(10)^x` is

`-y=2/5(10)^x` or `y=-2/5(10)^x` or `f(x)=-2/5(10)^x`

graph{(y-2/5(10)^x)(y+2/5(10)^x)=0 [-5.437, 4.563, -2.54, 2.46]}