We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

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




what is the   equation for g(x)

 Nov 13, 2019

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? 

 Nov 14, 2019

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 !

 Nov 14, 2019

7 Online Users