document.write( "Question 812895: Dear Ma'am/Sir,
\n" ); document.write( " Good day! Kindly help me with this mathematical problem, I do not know much about analytic geometry, please help me. \r
\n" ); document.write( "\n" ); document.write( " Here it goes:
\n" ); document.write( " The endpoints of the latus rectum of a parabola are (5,k), and (-5,k). If the vertex of the parabola is at the origin, and the parabola opens downward, find
\n" ); document.write( "a) the value of k
\n" ); document.write( "b) an equation of the parabola\r
\n" ); document.write( "\n" ); document.write( "Thank you so much!
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Algebra.Com's Answer #489389 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi\r
\n" ); document.write( "\n" ); document.write( "endpoints of the latus rectum of a parabola are (5,k), and (-5,k).
\n" ); document.write( "vertex of the parabola is at the origin, and the parabola opens downward
\n" ); document.write( "the vertex form of a Parabola opening up(a>0) or down(a<0), \"y=a%28x-h%29%5E2+%2Bk\"
\n" ); document.write( "where(h,k) is the vertex and x = h is the Line of Symmetry
\n" ); document.write( "The standard form is \"%28x+-h%29%5E2+=+4p%28y+-k%29\", where the focus is (h,k + p)
\n" ); document.write( "\"%28x+-0%29%5E2+=+4p%28y+-0%29\",
\n" ); document.write( "4p = 10, (length of latus rectum is 4p Focal point is ( 0,-10/4 )
\n" ); document.write( "\"-x%5E2+=+10y\"
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