SOLUTION: If the graph of g(x)=log(subscript 2)x where known, explain how translations could be done to obtain the graph of f(x)=log(subscript 2)x+7. PLEASE HELP.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If the graph of g(x)=log(subscript 2)x where known, explain how translations could be done to obtain the graph of f(x)=log(subscript 2)x+7. PLEASE HELP.      Log On


   

Question 201586: If the graph of g(x)=log(subscript 2)x where known, explain how translations could be done to obtain the graph of f(x)=log(subscript 2)x+7. PLEASE HELP.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the function log%282%2C%28x%2B7%29%29 ????

If so, then simply shift the graph of log%282%2C%28x%29%29 7 units to the left to get the graph of log%282%2C%28x%2B7%29%29


Here are the graphs:



Graph of y=log%282%2C%28x%29%29 (red) and y=log%282%2C%28x%2B7%29%29 (green)


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OR...

Is the function log%282%2C%28x%29%29%2B7 ????

If so, then simply shift the graph of log%282%2C%28x%29%29 7 units up to get the graph of log%282%2C%28x%29%29%2B7



Here are the graphs:



Graph of y=log%282%2C%28x%29%29 (red) and y=log%282%2C%28x%29%29%2B7 (green)