document.write( "Question 236882: I don't understand how to write the rule for a table when it is x squared.
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document.write( "x Y
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document.write( "1 9
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document.write( "2 12
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document.write( "3 17
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document.write( "4 24
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document.write( "I know the answer is y=x^2+8, but I don't know how to get that answer.
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document.write( "Thanks \n" );
document.write( "
Algebra.Com's Answer #174240 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Your table:\r \n" ); document.write( "\n" ); document.write( "x.......... y \n" ); document.write( "1............9 \n" ); document.write( "2............12 \n" ); document.write( "3............17 \n" ); document.write( "4............24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You are given an equation.\r \n" ); document.write( "\n" ); document.write( "When you plug the given values for x, you get the corresponding y values as shown on the table.\r \n" ); document.write( "\n" ); document.write( "For example, when x = 1, y = (1)^2 + 8 = 1 + 8 = 9.\r \n" ); document.write( "\n" ); document.write( "So, when x = 1, y = 9.\r \n" ); document.write( "\n" ); document.write( "Do you understand?\r \n" ); document.write( "\n" ); document.write( "The table reveals the y values when you plug the given x values and simplify.\r \n" ); document.write( "\n" ); document.write( "=============================================================================\r \n" ); document.write( "\n" ); document.write( "I got your reply. You said:\r \n" ); document.write( "\n" ); document.write( "\"Is there a formula to follow if I didn't know the answer was y = x^2 + 8 because if I take the change in y divided by the change in x and use the equation of a line y = mx + b, I don't get the right answer.\"\r \n" ); document.write( "\n" ); document.write( "The change in y divided by the change in x leads to the slope of the line. \n" ); document.write( "You did not say anything about slope in your original question.\r \n" ); document.write( "\n" ); document.write( "The equation y = x^2 + 8 is not in slope form. This equation is actually a parabola. The only thing I can see from the information you provided is that a table or chart was needed to form an equation. The equation y = x^2 + 8, when plugging the given x values, gave you 4 different y values. See it? \r \n" ); document.write( "\n" ); document.write( "One thing to be noted here is the fact that each x and y value creates a point in the form (x, y). \r \n" ); document.write( "\n" ); document.write( "Here is an example:\r \n" ); document.write( "\n" ); document.write( "From your table, when x = 1, y = 9. This makes the point (1, 9).\r \n" ); document.write( "\n" ); document.write( "From your table again, when x = 2, y = 12 making the point (2, 12).\r \n" ); document.write( "\n" ); document.write( "You can continue this pattern to find other 2 points as well.\r \n" ); document.write( "\n" ); document.write( "Once you find all 4 points, you can then use those points to find the slope of the line. \r \n" ); document.write( "\n" ); document.write( "Let m = slope\r \n" ); document.write( "\n" ); document.write( "m = difference in y values divided by difference in x values\r \n" ); document.write( "\n" ); document.write( "This is the only thing I can see where the table information leads to the slope of the line. In reality, based on the fact that four x values and four y values appear on this table, we can find two slopes using the slope formula above.\r \n" ); document.write( "\n" ); document.write( "Is this clear?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |