SOLUTION: How do I graph the function f(x)=2-log(base 3)x? Does it reflect about the y or x axis? which way along the graph does it shift? The value and the negative in front of the log(ba

Algebra ->  Graphs -> SOLUTION: How do I graph the function f(x)=2-log(base 3)x? Does it reflect about the y or x axis? which way along the graph does it shift? The value and the negative in front of the log(ba      Log On


   

Question 740570: How do I graph the function f(x)=2-log(base 3)x? Does it reflect about the y or x axis? which way along the graph does it shift? The value and the negative in front of the log(base 3) is confusing me. Thank you for your help!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Try to sketch this description:

Start with the graph log%283%2Cx%29, which has an asymptote x=0 toward the left and not defined for x%3C0, and is an increasing function, and crosses the x axis at x=1.

If you REFLECT log%283%2Cx%29 around the horizontal x axis, you have -log%283%2Cx%29.

If you raise the graph by two units (move upward by two units), then you have 2-log%283%2Cx%29.

graph%28300%2C300%2C-2%2C12%2C-2%2C12%2C2-log%283%2Cx%29%29