document.write( "Question 530003: what is the equation of the function for a parabola that moves 3 units to the left of the origin,8 units down from the origin, is flipped over the x-axis, and is stretched vertically five times as much as the basic f(x)=x^2 \n" ); document.write( "
Algebra.Com's Answer #349864 by Edwin McCravy(20056)\"\" \"About 
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what is the equation of the function for a parabola that moves 3 units to the left of the origin,8 units down from the origin, is flipped over the x-axis, and is stretched vertically five times as much as the basic f(x)=x^2
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document.write( "We start with the basic \r\n" );
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document.write( "f(x) = x², which has this red graph:\r\n" );
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document.write( "\"graph%28400%2C400%2C-13%2C7%2C-10%2C10%2C+x%5E2%29\"\r\n" );
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document.write( "Then we move the red graph of f(x) 3 units left, \r\n" );
document.write( "by replacing x by (x+3) and getting\r\n" );
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document.write( "g(x) = (x+3)², which has this green graph:\r\n" );
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document.write( "\"graph%28400%2C400%2C-13%2C7%2C-10%2C10%2C+x%5E2%2C+%28x%2B3%29%5E2%29\"\r\n" );
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document.write( "Then we move the green graph of g(x) 8 units down, \r\n" );
document.write( "by subtracting 8 from the right side of g(x), getting\r\n" );
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document.write( "h(x) = (x+3)²-9, which has this blue graph:\r\n" );
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document.write( "\"graph%28400%2C400%2C-13%2C7%2C-10%2C10%2C+20%2C+%28x%2B3%29%5E2%2C+%28x%2B3%29%5E2-9%29\"\r\n" );
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document.write( "Then we flip the blue graph of h(x) over the x-axis, \r\n" );
document.write( "by multiplying the right side of h(x) by -1, getting\r\n" );
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document.write( "i(x) = -(x+3)²+9, which has this purplish lavender graph:\r\n" );
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document.write( "Finally we stretch the purplish lavender graph of i(x) vertically by a \r\n" );
document.write( "factor of 5, by multiplying the right side of i(x) by 5, \r\n" );
document.write( "getting\r\n" );
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document.write( "j(x) = -5(x+3)²+45, which has this long light yellow-green-grayish graph:\r\n" );
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document.write( "Edwin
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