SOLUTION: Find the inverse function of f(x)=2(x-2)^2 +1 and graph it by reflecting f(x) over the line y=x (switch x and y co-ordinates) Thank you

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the inverse function of f(x)=2(x-2)^2 +1 and graph it by reflecting f(x) over the line y=x (switch x and y co-ordinates) Thank you      Log On


   

Question 1185134: Find the inverse function of f(x)=2(x-2)^2 +1 and graph it by reflecting f(x) over the line y=x (switch x and y co-ordinates)
Thank you
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x=2%28I-2%29%5E2%2B1
2%28I-2%29%5E2=x-1
%28I-2%29%5E2=%28x-1%29%2F2
I-2=0%2B-+sqrt%28%28x-1%29%2F2%29

highlight%28I=2%2B-+sqrt%28%28x-1%29%2F2%29%29-------the whole inverse relation


Given Function
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C2%28x-2%29%5E2%2B1%2Cx%29

Inverse RELATION