document.write( "Question 1147853: Let the graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of f(x)=x^2−6x+1. Write an equation. \n" ); document.write( "

Algebra.Com's Answer #802233 by ikleyn(52879) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " The solution by @CubeyThePenguin is INCORRECT.\r
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\n" ); document.write( "\n" ); document.write( " I came to bring a correct solution.\r
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document.write( "(1)  Apply vertical stretch by a factor 3.  You get then the polynomial\r\n" );
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document.write( "        p(x) = 3*(x^2 - 6x + 1).    (1)\r\n" );
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document.write( "(2)  Reflection in the y-axis is the  change  of x to (-x).\r\n" );
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document.write( "     So, after reflection, the new polynomial is \r\n" );
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document.write( "         q(x) = 3*((-x)^2 - 6*(-x) + 1) = 3*(x^2 + 6x + 1).     (2)\r\n" );
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document.write( "(3)  Translation 2 units left is the change of x by (x+2) in the polynomial  (2).  \r\n" );
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document.write( "     So, the new polynomial g(x)   (your final answer)  is\r\n" );
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document.write( "         g(x) = 3*((x+2)^2 + 6(x+2) + 1) = \r\n" );
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document.write( "                3*(x^2 + 4x + 4 + 6x + 12 + 1) = 3*(x^2 + 10x + 17) = 3x^2 + 30x + 51.\r\n" );
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document.write( "ANSWER.  The resulting polynomial is  g(x) = 3x^2 + 30x + 51.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "For your safety, ignore the post by @CubeyThePenguin,\r
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