Question 598577: y=log[5](x-1)-2
Graph the equation
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! y=log[5](x-1)-2
Graph the equation
Start with the graph of a basic log function:log(x)
All log functions regardless of base have an x-intercept at 1.
When x<1, the log function becomes increasingly negative as x approaches the asymptote (y-axis)
When x>1, the log function becomes increasingly positive to infinity.
Now, for the given function: log[5](x-1)-2
Move the basic curve one unit right, that is, the x-intercept is moved from 1 to 2
To complete the graph, move the curve 2 units down.
The x-intercept point moves from (2,0) to (2,-2)
The y-axis as an asymptote is still in play.
I don't have the means to draw the graph for you, but this should give you some idea how to do it.
Hope this helps!
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