SOLUTION: I need help solving this. Graph the function. g(x)=2/3log(base2)(x-4)+1. Plot 2 points and the asymptotes if any. Thanks for viewing

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Question 756419: I need help solving this. Graph the function. g(x)=2/3log(base2)(x-4)+1. Plot 2 points and the asymptotes if any.
Thanks for viewing

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The basic graph is for y=log(2,x), easily sketched using a few simple points.


The (x-4) part shifts to the right by 4 units.



The (2/3) factor squashes the graph vertically by that factor.


The +1 moves the graph upward by 1 unit.


Note: The site system is not rendering properly. The graph should decrease rapidly as it goes toward the left; NOT be cut-off. There IS an vertical asymptote on the left of the graph. x=4 is this vertical asymtptote.

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