document.write( "Question 637355: In a quadratic equations why does the y value for subsequent x values increase or decrease in a pattern. For example, in the equation x^2 -2x -3, the y value when x is 1(vertex), 2, 3, and 4 is -4(vertex), -3, 0, and 5 respectively. Every time the y value is increasing by 1, then 3, then 5, then 7, then 9, and so on. Please explain this! \n" );
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Algebra.Com's Answer #401579 by ewatrrr(24785)  You can put this solution on YOUR website! \n" );
document.write( "Hi, \n" );
document.write( "y = x^2 -2x -3 | y = ax^2 + bx + c and  \n" );
document.write( "y = |completing the Square to find Vertex form \n" );
document.write( "y = (x-1)^2 - 4 ,  \n" );
document.write( " , the vertex form of a parabola, where(h,k) is the vertex \n" );
document.write( "The pattern You are seeing is the result of the (x-1)^2 pattern \n" );
document.write( "x (x-1)^2 y \n" );
document.write( "1 0 -4 \n" );
document.write( "2 1 -3 \n" );
document.write( "3 4 0 \n" );
document.write( "4 9 5 \n" );
document.write( "5 16 12 \n" );
document.write( " \n" );
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