document.write( "Question 667974: Show work, determine the quadratic function of f whose vertex is (1,-1) and passes through (3,7).
\n" ); document.write( "F(x)=
\n" ); document.write( "Type your answer in the form f(x)=ax˛+bx+c
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Algebra.Com's Answer #415306 by lwsshak3(11628)\"\" \"About 
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Show work, determine the quadratic function of f whose vertex is (1,-1) and passes through (3,7).
\n" ); document.write( "F(x)=
\n" ); document.write( "Type your answer in the form f(x)=ax˛+bx+c
\n" ); document.write( "**
\n" ); document.write( "Using standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex
\n" ); document.write( "plug in given coordinates of vertex (1,-1)
\n" ); document.write( "y=A(x-1)^2-1
\n" ); document.write( "plug in given coordinates of given point: (3,7), then solve for A
\n" ); document.write( "7=A(3-1)^2-1
\n" ); document.write( "7=4A-1
\n" ); document.write( "4A=8
\n" ); document.write( "A=2\r
\n" ); document.write( "\n" ); document.write( "Equation of parabola: (quadratic function):
\n" ); document.write( "F(x)=2(x-1)^2-1
\n" ); document.write( "F(x)=2(x^2-2x+1)-1
\n" ); document.write( "F(x)=2x^2-4x+1\r
\n" ); document.write( "\n" ); document.write( "see graph below:
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C2%28x-1%29%5E2-1%29+\" \n" ); document.write( "
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