document.write( "Question 186277: Hi my name is Brandie. My teacher gave me a math problem to day and I can't get it. The problem is:
\n" ); document.write( "The table is for a quadratic equation- \r
\n" ); document.write( "\n" ); document.write( "x, y
\n" ); document.write( "-3, 0
\n" ); document.write( "-2, -7
\n" ); document.write( "-1, -8
\n" ); document.write( "0, -3
\n" ); document.write( "1, ?\r
\n" ); document.write( "\n" ); document.write( "Determine the quadratic equation using the information from the table. And solve for '?'. I don't understand how I'm suppose to do this. Can you because help me. This is the only problem I can't get.
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Algebra.Com's Answer #139632 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
The table is for a quadratic equation-
\n" ); document.write( "x, y
\n" ); document.write( "-3, 0
\n" ); document.write( "-2, -7
\n" ); document.write( "-1, -8
\n" ); document.write( "0, -3
\n" ); document.write( "1, ?
\n" ); document.write( "Determine the quadratic equation using the information from the table. And solve for '?'.
\n" ); document.write( ":
\n" ); document.write( "Using the form: ax^2 + bx + c = y solve for a, b, c
\n" ); document.write( "c is the y intercept (x=0), notice in the table when x=0, y = -3
\n" ); document.write( "therefore we know that c = -3
\n" ); document.write( ":
\n" ); document.write( "Solve for a and b, take the values for x and y from the given table:
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\n" ); document.write( "when x=-3; y=0
\n" ); document.write( "(-3^2)a + (-3)b - 3 = 0
\n" ); document.write( "9a - 3b = +3
\n" ); document.write( "simplify, divide equation by 3:
\n" ); document.write( "3a - b = 1
\n" ); document.write( ":
\n" ); document.write( "when x=-1, y=-8
\n" ); document.write( "(-1^2)a + (-1)b - 3 = -8
\n" ); document.write( "a - b = -8 + 3
\n" ); document.write( "a - b = -5
\n" ); document.write( ":
\n" ); document.write( "Use these two equations for elimination
\n" ); document.write( "3a - b = 1
\n" ); document.write( "a - b = -5
\n" ); document.write( "---------------subtraction eliminates b, find a
\n" ); document.write( "2a = +6
\n" ); document.write( "a = 3
\n" ); document.write( ":
\n" ); document.write( "Find b using 3a - b = 1, substitute 3 for a
\n" ); document.write( "3(3) - b = 1
\n" ); document.write( "9 - b = 1
\n" ); document.write( "-b = 1 - 9
\n" ); document.write( "-b = -8
\n" ); document.write( "b = +8
\n" ); document.write( ":
\n" ); document.write( "The quadratic equation; y = 3x^2 + 8x - 3
\n" ); document.write( "You can check to see if this is true
\n" ); document.write( "substitute the given x values in the equation, see if it = y
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\n" ); document.write( "Regarding the question mark, find y when x = 1\"
\n" ); document.write( "y = 3(1^2) + 8(1) - 3
\n" ); document.write( "y = 3 + 8 - 3
\n" ); document.write( "y? = 8
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\n" ); document.write( "Did this make sense to you?
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