document.write( "Question 1080180: Write a function whose graph represents the indicated transformation of the graph of f. f(x)=√x+4; vertical stretch by a factor of 4, followed by a translation 2 units right. \n" ); document.write( "

Algebra.Com's Answer #694447 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "Write a function whose graph represents the indicated transformation of the graph of f. f(x)=sqrt(x+4); vertical
\n" ); document.write( "stretch by a factor of 4, followed by a translation 2 units right.
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document.write( "1.  Original function is f(x) = sqrt(x+4) =   \r\n" );
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document.write( "             (it is how I read your writing, which does not allow me to select between  sqrt(x) + 4  and  sqrt(x+4) ).\r\n" );
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document.write( "2.  After vertical stretch by a factor of 4:  g(x) = .\r\n" );
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document.write( "3.  After a translation 2 units right:  h(x) =  = .\r\n" );
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document.write( "    See the trick I did to translate the plot in 2 units right: I replaced x in the function by (x-2).  That's all.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Plot f(x) = $\"sqrt%28x%2B4%29\"$ (red), g(x) = $\"4%2Asqrt%28x%2B4%29\"$ (green), and h(x) = $\"4%2Asqrt%28x%2B2%29\"$ (blue).\r
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