document.write( "Question 1041715: Write the vertex form equation of the parabola with vertex (10,0), axis of symmetry: y = 0, length of latus rectum = 1, a < 0 \n" ); document.write( "

Algebra.Com's Answer #656660 by josgarithmetic(39620) $\"\"$ $\"About$

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Concave to the left, and axis of symmetry is the x-axis. Some equation of parabola $\"x=a%28y-0%29%5E2-10\"$ or as $\"x=ay%5E2-10\"$ . You do not know the value of a but you only know $\"a%3C0\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Latus Rectum of 1 and the sign of a means that the focus is to the LEFT of the vertex. Both focus AND vertex are on the axis of symmetry, so x=0, and y=1/2 for the point (0, 1/2) as a endpoint for the latus rectum. Other endpoint is (0, -1/2 ).\r
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\n" ); document.write( "\n" ); document.write( "Using either endpoint for the latus recturm, $\"0=a%281%2F2%29%5E2-10\"$ with the values substituted, and you can calculate and pick the correct value for \"a\". \n" ); document.write( "

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