document.write( "Question 889601: find the equation of the parabola with vertex on the line y=x, the axis of parabola is parallel to the x-axis and passing through (6,-2)and (3,4)
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Algebra.Com's Answer #538382 by lwsshak3(11628)\"\" \"About 
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find the equation of the parabola with vertex on the line y=x, the axis of parabola is parallel to the x-axis and passing through (6,-2)and (3,4)
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\n" ); document.write( "give data shows parabola open rightwards:
\n" ); document.write( "Its vertex form of equation: \"x=%28y-k%29%5E2%2Bh\"
\n" ); document.write( "(6,-2) 6=(-2-k)^2+h
\n" ); document.write( "(3,4) 3=(4-k)^2+h
\n" ); document.write( "..
\n" ); document.write( "6=4+4k+k^2+h
\n" ); document.write( "3=16-8k+k^2+h
\n" ); document.write( "subtract
\n" ); document.write( "3=-12+12k
\n" ); document.write( "12k=15
\n" ); document.write( "k=15/12=5/4
\n" ); document.write( "..
\n" ); document.write( "3=(4-k)^2+h
\n" ); document.write( "sub k
\n" ); document.write( "3=(4-5/4)^2+h
\n" ); document.write( "3=(11/4)^2+h
\n" ); document.write( "48/16=121/16+h
\n" ); document.write( "h=-121/16+48/16=-73/16
\n" ); document.write( "equation:\"x=%28y-5%2F4%29%5E2-73%2F16\"
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