document.write( "Question 498546: x2 − 2y = 8x −10 what is the focus and focus width of this parabola? \n" ); document.write( "

Algebra.Com's Answer #337162 by lwsshak3(11628) $\"\"$ $\"About$

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x2 − 2y = 8x −10 what is the focus and focus width of this parabola?
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\n" ); document.write( "x2 − 2y = 8x −10
\n" ); document.write( "2y=x^2-8x+10
\n" ); document.write( "complete the square
\n" ); document.write( "2y=(x^2-8x+16)+10-16
\n" ); document.write( "2y=(x-4)^2-6
\n" ); document.write( "(x-4)^2=2y+6=2(y+3)
\n" ); document.write( "(x-4)^2=2(y+3)
\n" ); document.write( "Standard form for equation of this parabola: (x-h)^2=4p(y-k), (h,k) being the (x,y) coordinates of the vertex and parabola opens upwards.
\n" ); document.write( "For given equation of parabola:
\n" ); document.write( "vertex: (4,-3)
\n" ); document.write( "axis of symmetry: x=4
\n" ); document.write( "4p=2
\n" ); document.write( "p=2/4=1/2
\n" ); document.write( "focus: (4, 5/2)
\n" ); document.write( "focal width: 4p=2 \n" ); document.write( "

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