The graph of g(x) is a transformation of the graph of f(x)=3^x

https://prnt.sc/pwk3wf

what is the equation for g(x)

Guest Nov 13, 2019

#1**+2 **

Compared to 3^{x} 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?

ElectricPavlov Nov 14, 2019

#2**+1 **

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!!

and..... finally....

\(f(x)=x+k\) 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 !

Nirvana Nov 14, 2019