document.write( "Question 1049820: hi I would like to know how to find the quadratic polynomial whose graph goes through the points (−1,2),(−1,2), (0,2),(0,2), and (2,14)
\n" ); document.write( "thank you \n" ); document.write( "

Algebra.Com's Answer #665390 by stanbon(75887) $\"\"$ $\"About$

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find the quadratic polynomial whose graph goes through the points (−1,2),(0,2), and (2,14)
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\n" ); document.write( "Form::
\n" ); document.write( "ax^2 + bx + c = y
\n" ); document.write( "Using (-1,2) you get:: a - b + c = 2
\n" ); document.write( "Using (0,2) you get:: 0 - 0 + c = 2
\n" ); document.write( "Using (2,14) you get:: 4a + 2b + c = 14
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\n" ); document.write( "Notice that c = 2, you can write two equations in a and b::
\n" ); document.write( "a - b = 0
\n" ); document.write( "4a+2b = 12
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\n" ); document.write( "a - b = 0
\n" ); document.write( "2a + b = 6
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\n" ); document.write( "Add and solve for \"a\"::
\n" ); document.write( "3a = 6
\n" ); document.write( "a = 2
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\n" ); document.write( "Solve for \"b\":
\n" ); document.write( "a - b = 0
\n" ); document.write( "2 - b = 0
\n" ); document.write( "b = 2
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\n" ); document.write( "Equation:
\n" ); document.write( "y = 2x^2 + 2x + 2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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