document.write( "Question 1181202: The parent function f(x)=log10x is vertically stretched by a factor
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document.write( "of 3, reflected in the y-axis, horizontally transformed 4 units to the left
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document.write( "and vertically transformed 2.5 units up. What is the equation of the
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document.write( "vertical asymptote of the transformed function?
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Algebra.Com's Answer #811069 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! The parent function f(x)=log10x is vertically stretched by a factor \n" ); document.write( "of 3, reflected in the y-axis, horizontally transformed 4 units to the left \n" ); document.write( "and vertically transformed 2.5 units up. What is the equation of the \n" ); document.write( "vertical asymptote of the transformed function?\r \n" ); document.write( "\n" ); document.write( "The parent function: \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The vertical asymptote is the y-axis, whose equation is x = 0. \n" ); document.write( "is vertically stretched by a factor of 3, \r\n" ); document.write( "\r\n" ); document.write( "So we multiply the entire right side by 3, and call it g(x)\r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "reflected in the y-axis, \r\n" ); document.write( "We replace x by -x, and label it h(x)\r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "horizontally transformed 4 units to the left \r\n" ); document.write( "\r\n" ); document.write( "We replace x by (x+4) and label the new function k(x)\r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "and vertically transformed 2.5 units up. \r\n" ); document.write( "We add 2.5 to the entire right side and label the new function m(x)\r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "What is the equation of the vertical asymptote of the transformed function? \r\n" ); document.write( "\r\n" ); document.write( "Answer: x = -4\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |