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

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> 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      Log On


   

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) About Me  (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.
graph%28250%2C250%2C-10%2C10%2C-10%2C10%2Clog%282%2Cx%29%29

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

graph%28250%2C250%2C-10%2C10%2C-10%2C10%2Clog%282%2Cx-4%29%29

The (2/3) factor squashes the graph vertically by that factor.
graph%28250%2C250%2C-10%2C10%2C-10%2C10%2C%282%2F3%29log%282%2Cx-4%29%29

The +1 moves the graph upward by 1 unit.

graph%28250%2C250%2C-10%2C10%2C-10%2C10%2C%282%2F3%29log%282%2Cx-4%29%2B1%29
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.