document.write( "Question 1129284: Find the latus rectum, vertex and directrix of the parabola y^2-8x-2y+17=0 \n" ); document.write( "
Algebra.Com's Answer #745859 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Find the latus rectum, vertex and directrix of the parabola y^2-8x-2y+17=0
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This is a parabola with a HORIZONTAL AXIS of SYMMETRY, and so, its equation is: \"matrix%281%2C3%2C+%28y+-+k%29%5E2%2C+%22=%22%2C+4p%28x+-+h%29%29\"
\n" ); document.write( "Given equation: \"matrix%281%2C3%2C+y%5E2+-+8x+-+2y+%2B+17%2C+%22=%22%2C+0%29\"
\n" ); document.write( "After COMPLETING the SQUARE on y, we get:
\n" ); document.write( "Comparing that to the equation of a parabola with a HORIZONTAL AXIS of SYMMETRY, or \"matrix%281%2C3%2C+%28y+-+k%29%5E2%2C+%22=%22%2C+4p%28x+-+h%29%29\", we see that:
\n" ); document.write( "h = 2; k = 1
\n" ); document.write( "4p = 8, or \"matrix%281%2C5%2C+p%2C+%22=%22%2C+8%2F4%2C+%22=%22%2C+2%29\"
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