document.write( "Question 1179669: Graph y = x2 + 5x + 6. Determine the table of values and calculate the first and second differences. \n" ); document.write( "
Algebra.Com's Answer #809236 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Yes; do that....

\n" ); document.write( "The instructions are clear; all you need to do is do what it says. It's not our purpose here to do it for you.

\n" ); document.write( "One comment.... Since they ask you to calculate the first and second differences, your table of values needs to have consecutive values for x. Keep the values small -- maybe from -3 to +3 or something like that.

\n" ); document.write( "If you don't understand what they are asking you to do, here is an example using a similar equation.

\n" ); document.write( "y = x^2-3x-4

\n" ); document.write( "Table of values (using consecutive \"small\" values of x):
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document.write( "   x   y=x^2-3x-4\r\n" );
document.write( "  ----------------\r\n" );
document.write( "  -2   4+6-4 = 6\r\n" );
document.write( "  -1   1+3-4 = 0\r\n" );
document.write( "   0   0+0-4 = -4\r\n" );
document.write( "   1   1-3-4 = -6\r\n" );
document.write( "   2   4-6-4 = -6\r\n" );
document.write( "   3   9-9-4 = -4\r\n" );
document.write( "   4  16-12-4= 0\r\n" );
document.write( "   5  25-15-4=6

\n" ); document.write( "First and second differences:
\r\n" );
document.write( "    6   0  -4  -6  -6  -4   0   6   (the y values for the consecutive x values)\r\n" );
document.write( "      -6 -4  -2   0  +2  +4  +6   (first differences: differences between successive y values)\r\n" );
document.write( "        +2 +2  +2  +2  +2  +2   (second differences: differences between successive first differences)

\n" ); document.write( "Presumably one of the things you are supposed to learn from this is that, since the given equation is a polynomial of degree 2, the second differences are constant....
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