document.write( "Question 1091491: The parabola defined by the equation y=x squared -10x+26 is shifted three units downward. If the new line of symmetry is x=-3 ,and the value of a=2,what is its new equation?
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Algebra.Com's Answer #705893 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "The vertex of the original equation has x-coordinate -b/(2a) = -(-10)/(2*1) = 5\r\n" );
document.write( "so the axis of symmetry of the original equation is x=5.  So it must be\r\n" );
document.write( "shifted 8 units left to go left to x=-3. We are given that it is shifted 3\r\n" );
document.write( "units down and since the new value of \"a\" is to be 2 and not 1, it must also\r\n" );
document.write( "be stretched by a factor of 2, otherwise \"a\" would remain 1.  So we replace\r\n" );
document.write( "x by x-8, multiply the right side by 2 to stretch so that a=2, then subtract\r\n" );
document.write( "3 to shift down 3 units, so the translated equation is\r\n" );
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document.write( "which simplifies to  \r\n" );
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document.write( "[However if we shift down 3 before we stretch to make a=2, the answer\r\n" );
document.write( "will be \r\n" );
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document.write( "which simplifies to  \r\n" );
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document.write( "Edwin

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