Question

Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5)x.

Answer 1

Option 2 is graph after reflection across x-axis.

Explanation:

We have been given the function:

`f(x)=3(1.5)^x`

We have reflection rule along x-axis as:

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

Hence, the given function when reflected across x-axis becomes:

`-y=3(1.5)^x`

`y=-3(1.5)^x`

You can see the attachment for the graph of the function after reflection in the attachment.

Option 2 is graph after reflection across x-axis.