document.write( "Question 1181202: The parent function f(x)=log10x is vertically stretched by a factor
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Algebra.Com's Answer #811069 by Edwin McCravy(20060)\"\" \"About 
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The parent function f(x)=log10x is vertically stretched by a factor
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\n" ); document.write( "vertical asymptote of the transformed function?\r
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The vertical asymptote is the y-axis, whose equation is x = 0.

\n" ); document.write( "is vertically stretched by a factor of 3,
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document.write( "So we multiply the entire right side by 3, and call it g(x)\r\n" );
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document.write( "\"g%28x%29=3log%2810%2C%28x%29%29\" \r\n" );
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document.write( "The vertical asymptote is still the y-axis, whose equation is x = 0.

\n" ); document.write( "reflected in the y-axis,
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document.write( "We replace x by -x, and label it h(x)\r\n" );
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document.write( "\"h%28x%29=3log%2810%2C%28-x%29%29\" \r\n" );
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document.write( "The vertical asymptote is still the y-axis, whose equation is x = 0.

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document.write( "We replace x by (x+4) and label the new function k(x)\r\n" );
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document.write( "\"k%28x%29=3log%2810%2C%28-%28x%2B4%29%5E%22%22%29%29\"\r\n" );
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document.write( "and remove the inner parentheses:\r\n" );
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document.write( "\"k%28x%29=3log%2810%2C%28-x-4%5E%22%22%29%29\"\r\n" );
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document.write( "Now the vertical asymptote has moved 4 units left, so its equation \r\n" );
document.write( "is x = -4.

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document.write( "We add 2.5 to the entire right side and label the new function m(x)\r\n" );
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document.write( "\"m%28x%29=3log%2810%2C%28-x-4%5E%22%22%29%29%2B2.5\"\r\n" );
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document.write( "The vertical asymptote is still x = -4.

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document.write( "Answer:  x = -4\r\n" );
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document.write( "Edwin
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