document.write( "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! \n" ); document.write( "

Algebra.Com's Answer #451643 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
Try to sketch this description:\r
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\n" ); document.write( "\n" ); document.write( "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.\r
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\n" ); document.write( "\n" ); document.write( "If you REFLECT $\"log%283%2Cx%29\"$ around the horizontal x axis, you have $\"-log%283%2Cx%29\"$ . \r
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\n" ); document.write( "\n" ); document.write( "If you raise the graph by two units (move upward by two units), then you have $\"2-log%283%2Cx%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C300%2C-2%2C12%2C-2%2C12%2C2-log%283%2Cx%29%29\"$ \n" ); document.write( "

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