SOLUTION: How do I graph {{{y=3 Ln x-2}}} I know the vertical asymptote is x=-2 but I have no idea how to graph this. Can you please show me the steps to graphing this?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do I graph {{{y=3 Ln x-2}}} I know the vertical asymptote is x=-2 but I have no idea how to graph this. Can you please show me the steps to graphing this?      Log On


   



Question 951213: How do I graph y=3+Ln+x-2 I know the vertical asymptote is x=-2 but I have no idea how to graph this. Can you please show me the steps to graphing this?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
How do I graph y=3+Ln+x-2 I know the vertical asymptote is x=-2 but I have no idea how to graph this. Can you please show me the steps to graphing this?
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I think you meant to write the equation as y=3+ln(x-2)
Assuming this is the right equation you want to graph, here are the steps to take:
First, graph the basic lnx curve, which like all log curves, have an x-intercept at 1. (log(0)=1), and a asymptote: y-axis or x=0.
Second, changing the basic curve to ln(x-2) moves the entire curve 2 units right, which places the x-intercept at 3 and the asymptote at x=2.
Finally, adding 3, raises the curve 3 units up with no change to the asymptote at x=2