document.write( "Question 527323: Determine the quadratic function, f(x)=ax^2+bx+c, whose vertex is (3, 7) and passes through the point (5, -9). \n" ); document.write( "

Algebra.Com's Answer #348978 by lwsshak3(11628) $\"\"$ $\"About$

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Determine the quadratic function, f(x)=ax^2+bx+c, whose vertex is (3, 7) and passes through the point (5, -9).
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\n" ); document.write( "Second degree equations are parabolas, so write it as a standard form of an equation for a parabola since the vertex is given:
\n" ); document.write( "..
\n" ); document.write( "y=A(x-h)^2+k=A(x-3)^2+7
\n" ); document.write( "Use given point (5,-9) to solve for A
\n" ); document.write( "-9=A(5-3)^2+7=4A+7
\n" ); document.write( "4A=-16
\n" ); document.write( "A=-4
\n" ); document.write( "Equation of Parabola: y=-4(x-3)^2+7
\n" ); document.write( "=-4(x^2-6x+9)+7=-4x^2+24x-36+7
\n" ); document.write( "ans:
\n" ); document.write( "f(x)=-4x^2+24x-29 \n" ); document.write( "

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