Answer:
Shift \(f(x)=6^x\) 5 units to the right and 7 units down.
Option B is correct.
Step-by-step explanation:
Given: \(f(x)=6^x\) translate to \(g(x)=6^{x-5}-7\)
Using translation property
If \(x\rightarrow x+a\) then function shift horizontally.
If a>0 then shift left
If a<0 then shift right
If \(f(x)\rightarrow f(x)+a\) then function shift vertically.
If a>0 then shift up
If a<0 then shift down
\(f(x)=6^x\)
\(g(x)=6^{x-5}\)
f(x) shift 5 unit right.
\(g(x)=6^{x-5}-7\)
f(x) shift 7 unit down.
Hence, {tex]f(x)=6^{x}[/tex] translate to \(g(x)=6^{x-5}-7\)
Shift \(f(x)=6^x\) 5 units to the right and 7 units down.
