SOLUTION: Hello! I am having a difficult time trying to figure out exactly how to graph this function. I tried but I just cannot seem to find the right answer. Graph the function g(x)=2/

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Question 756401: Hello! I am having a difficult time trying to figure out exactly how to graph this function. I tried but I just cannot seem to find the right answer.
Graph the function g(x)=2/3log(base2)(x-4)+1. Plot two points and the asymptotes if any.
I believe the horizontal asymptote is 4, but I'm not sure.
Thanks for viewing.

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Graph the function g(x)=2/3log(base2)(x-4)+1.

I can't draw the graph for you, but here are some pointers that might help you draw it.
basic log2(x) function has a vertical asymptote at x=0 or y-axis
log2(x-4) moves vertical asymptote to x=4
basic log2(x) function has x-intercept at (1,0)
It has moved 4 units to the right, one unit up at (5,1)
The coefficient (2/3) compresses the curve for x>5

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