document.write( "Question 936146: find the equation of the parabola with axis of symmetry parallel to x-axis,latus rectum 1 and passing through (3,1),(-5,5) \n" ); document.write( "
Algebra.Com's Answer #569594 by lwsshak3(11628)\"\" \"About 
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find the equation of the parabola with axis of symmetry parallel to x-axis,latus rectum 1 and passing through (3,1),(-5,5)
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\n" ); document.write( "Basic equation of parabola with axis of symmetry parallel to x-axis:
\n" ); document.write( "(y-k)^2=±4p(x-h),(h,k)=coordinates of the vertex
\n" ); document.write( "latus rectum=1=4p
\n" ); document.write( "(y-k)^2=(x-h)
\n" ); document.write( "..
\n" ); document.write( "set up 2 equations:
\n" ); document.write( "(3,1) (1-k)^2=(3-h)
\n" ); document.write( "(-5,5)(5-k)^2=(-5-h)
\n" ); document.write( "expand equations:
\n" ); document.write( "1-2k+k^2=3-h
\n" ); document.write( "25-10k+k^2=-5-h
\n" ); document.write( "subtract:
\n" ); document.write( "-24+8k=8
\n" ); document.write( "8k=32
\n" ); document.write( "k=4
\n" ); document.write( "..
\n" ); document.write( "1-8+16=3-h
\n" ); document.write( "h=-6
\n" ); document.write( "..
\n" ); document.write( "(h,k)=(-6,4)
\n" ); document.write( "Equation: (y-4)^2=(x+6)
\n" ); document.write( "This is a parabola that opens rightward with vertex at (-6,4) \n" ); document.write( "
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