The graph of g(x) is a transformation of the graph of f(x)=3^x
what is the equation for g(x)
Compared to 3x g(x) is shifted DOWN 1 unit and shifted RIGHT 2 units
What would you do to f(x) to get to g(x) knowing this?
You got it EP! :D
here's more hints though....
please remember the rules of the transformation of functions.......
I'm not going to use your exact problem but let's do something similar:
pretend I gave you parent function ⇒ \(f(x)= x^2\)
what do we know about this?
well we know that it is a parabola!
so lets say i then give you function g(x)
\(g(x)= (x-3)^2 +4\)
what can you tell me about this??
well remember that \(f(x)=(x-h) \) shifts your function h units TO THE RIGHT!!
and \(f(x)= (x+h) \) shifts it h units TO THE LEFT!!
\(f(x)=x+k\) your function MUST be shifted k units UP! and if k was negative it would be k units DOWN!
now apply this rule to your problem and see if you understand it.........
hope this helped in some way !