document.write( "Question 1161244: Find the equation for the transformed function of the parent function f(x)=x^3 which has been reflected in the x-axis vertically stretched by a factor of 2, translated 5 units to the left and 3 units down. \n" ); document.write( "

Algebra.Com's Answer #784744 by Edwin McCravy(20060) $\"\"$ $\"About$

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f(x)=x³\r
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Multiply whole right side by -1:\r\n" );
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document.write( "y = -x³

vertically stretched by a factor of 2,

Multiply right side by 2\r\n" );
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document.write( "y = -2x³

translated 5 units to the left

Replace x by (x+5)\r\n" );
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document.write( "y = -2(x+5)³

and 3 units down.

Add -3 to the right side:\r\n" );
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document.write( "y = -2(x+5)³-3   <--answer\r\n" );
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document.write( "Edwin

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