SOLUTION: How do you change the functions below to make them easier to graph? It is possible to just look that the functions as it is and understand how the graph will look like, in terms of

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do you change the functions below to make them easier to graph? It is possible to just look that the functions as it is and understand how the graph will look like, in terms of      Log On


   

Question 173883: How do you change the functions below to make them easier to graph? It is possible to just look that the functions as it is and understand how the graph will look like, in terms of the x and y points?
Y=log_2^(4x)
Y=log_2^(x^2)
Y=log_2(x-2)
Y=log_2(x^-1)
Log_2 means to the base of 2.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+log%282%2C%28x%5E%28-1%29%29%29
I can rewrite this as
2%5Ey+=+1%2Fx
If I plot
2%5Ex+=+1%2Fy
y+=+2%5E%28-x%29
instead, this
is the inverse function and will be symmetrical
with the original function about y+=+x.
I'll plot both to prove it
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2Clog%282%2C1%2Fx%29%2C+2%5E%28-x%29%29+
As for which is which, The y+=+2%5E%28-x%29 has the points
(-1,2), (0,1), (1,1/2)
You can apply this method to the others also