document.write( "Question 1003064: Find a quadratic function that includes the set of values below.
\n" ); document.write( "(0,3) (2,11)(3,6) \n" ); document.write( "
Algebra.Com's Answer #620050 by ankor@dixie-net.com(22740)\"\" \"About 
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Find a quadratic function that includes the set of values below.
\n" ); document.write( "(0,3) (2,11)(3,6)
\n" ); document.write( "Using the form ax^2 + bx + c = y
\n" ); document.write( "From the first set we know that c = 3
\n" ); document.write( "Write an equation for the last two sets
\n" ); document.write( "x=2; y=11
\n" ); document.write( "a(2^2) + b(2) + 3 = 11
\n" ); document.write( "4a + 2b = 11 - 3
\n" ); document.write( "4a + 2b = 8
\n" ); document.write( "simplify divide by 2
\n" ); document.write( "2a + b = 4
\n" ); document.write( "and
\n" ); document.write( "x=3, y=6
\n" ); document.write( "9a + 3b + 3 = 6
\n" ); document.write( "9a + 3b = 6 - 3
\n" ); document.write( "9a + 3b = 3
\n" ); document.write( "simplify divide by 3
\n" ); document.write( "3a + b = 1
\n" ); document.write( ":
\n" ); document.write( "Use elimination to find a
\n" ); document.write( "3a + b = 1
\n" ); document.write( "2a + b = 4
\n" ); document.write( "--------------subtracting eliminate b
\n" ); document.write( "a = -3
\n" ); document.write( "Find b using the equation 2a + b = 4
\n" ); document.write( "2(-3) + b = 4
\n" ); document.write( "b = 4 + 6
\n" ); document.write( "b = 10
\n" ); document.write( ":
\n" ); document.write( "The equation: f(x) = -3x^2 + 10x + 3
\n" ); document.write( ":
\n" ); document.write( "You can confirm this for yourself, replace x with given value, see that it = y
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