document.write( "Question 1074571: Determine the quadratic function f whose graph has the following,
\n" ); document.write( "The vertex is (2,−1) and the other given point is (3,1) in form f(x) = ax^2+bx+c,
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Algebra.Com's Answer #689223 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Determine the quadratic function f whose graph has the following,
\n" ); document.write( "The vertex is (2,−1) and the other given point is (3,1) in form f(x) = ax^2+bx+c,
\n" ); document.write( "
\"f%28x%29+=+a%28x+-+h%29%5E2+%2B+k\" ------- Quadratic function, in vertex-form 
\n" ); document.write( "\"1+=+a%283+-+2%29%5E2+%2B+-+1\" ------ Substituting (2, - 1) for (h, k), and (3, 1) for [x, f(x)]
\n" ); document.write( "1 = a - 1
\n" ); document.write( "1 + 1 = a
\n" ); document.write( "2 = a
\n" ); document.write( "\"f%28x%29+=+2%28x+-+2%29%5E2+-+1\"
\n" ); document.write( "\"f%28x%29+=+2%28x%5E2+-+4x+%2B+4%29+-+1\"
\n" ); document.write( "\"f%28x%29+=+2x%5E2+-+8x+%2B+8+-+1\"
\n" ); document.write( "Quadratic function: \"highlight_green%28matrix%281%2C3%2C+f%28x%29%2C+%22=%22%2C+2x%5E2+-+8x+%2B+7%29%29\" \n" ); document.write( "
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