document.write( "Question 1004118: Write g in terms of f. Then describe the transformation from the graph of f to the graph of g. \r
\n" ); document.write( "\n" ); document.write( "f(x)= 5x-2 g(x)= x-2 \n" ); document.write( "

Algebra.Com's Answer #620642 by jim_thompson5910(35256) $\"\"$ $\"About$

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Start with f(x) and solve for x
\n" ); document.write( "f(x) = 5x-2
\n" ); document.write( "f(x)+2 = 5x-2+2
\n" ); document.write( "f(x)+2 = 5x
\n" ); document.write( "(1/5)*(f(x)+2) = (1/5)*5x
\n" ); document.write( "(1/5)*(f(x)+2) = x
\n" ); document.write( "x = (1/5)*(f(x)+2)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now plug this into g(x)
\n" ); document.write( "g(x) = x-2
\n" ); document.write( "g(x) = (1/5)*(f(x)+2)-2
\n" ); document.write( "g(x) = (1/5)*f(x)+(1/5)*2-2
\n" ); document.write( "g(x) = (1/5)*f(x)+2/5-2
\n" ); document.write( "g(x) = (1/5)*f(x)+2/5-10/5
\n" ); document.write( "g(x) = (1/5)*f(x)-8/5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So,
\n" ); document.write( " $\"g%28x%29+=+%281%2F5%29%2Af%28x%29-8%2F5\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Description: Start with the graph of f(x). Vertically compress it by a factor of 5. Then shift everything down 8/5 = 1.6 units to get the graph of g(x). \n" ); document.write( "

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