Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5)x.
Answer:
Option 2 is graph after reflection across x-axis.
Step-by-step explanation:
We have been given the function:
[tex]f(x)=3(1.5)^x[/tex]
We have reflection rule along x-axis as:
[tex](x,y)\rightarrow (x,-y)[/tex]
Hence, the given function when reflected across x-axis becomes:
[tex]-y=3(1.5)^x[/tex]
[tex]y=-3(1.5)^x[/tex]
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.