document.write( "Question 548555: find the focus of a parabola represented by the equation f(x)=x(squared)-8x+12 with the vertex at (4,-4). \n" ); document.write( "
Algebra.Com's Answer #357422 by lwsshak3(11628)\"\" \"About 
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find the focus of a parabola represented by the equation f(x)=x(squared)-8x+12 with the vertex at (4,-4)
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\n" ); document.write( "f(x)=x(squared)-8x+12
\n" ); document.write( "y=x^2-8x+12
\n" ); document.write( "complete the squareS
\n" ); document.write( "y=(x^2-8x+16)+12-16
\n" ); document.write( "y=(x-4)^2-4
\n" ); document.write( "(x-4)^2=(y+4)
\n" ); document.write( "This is an equation for a parabola of the standard form: (x-h)^2=4p(y-k), with (h,k) being the (x,y) coordinates of the vertex. Parabola opens upward.
\n" ); document.write( "For given equation:
\n" ); document.write( "vertex: (4,-4)
\n" ); document.write( "Axis of symmetry: x=4
\n" ); document.write( "4p=1
\n" ); document.write( "p=1/4
\n" ); document.write( "Focus is located p units above the vertex on the axis of symmetry
\n" ); document.write( "Focus: (4,-4+1/4)=(4,-15/4) \n" ); document.write( "
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