document.write( "Question 849018: Find the vertex, focus and directrix of the parabola y= -3x^2+12x-8 without completing the square and determine whether the parabola opens upward or downward \n" ); document.write( "
Algebra.Com's Answer #511341 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( " y= -3x^2+12x-8
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%28-12+%2B-+sqrt%28+48%29%29%2F-6%29+\"
\n" ); document.write( "\"x+=+%28-12+%2B-+sqrt%28+16%2A3%29%29%2F-6%29+\"
\n" ); document.write( " \"x+=+2+%2B-++%28-2%2F3+%29sqrt%283%29\"
\n" ); document.write( " midpoint =\"%28%282+-+%282%2F3%29sqrt%283%29%29+%2B+%282%2B%282%2F3%29sqrt%283%29%29%29%2F2+\" = 2 0r simply \"x+=+-b%2F2a%29%29%29%0D%0AV%282%2C4%29+%28Substituting+x+=+2+%7B%7B%7B-12%2B24-8+=+4\"
\n" ); document.write( "Parabola Opening downward: \"+y=+green%28-3%29x%5E2%2B12x-8\"
\n" ); document.write( "\"1%2F%284a%29+=+-1%2F12\", 4 + (-1/12) = 47/12 Focus(2,47/12)
\n" ); document.write( "directrix is y = 4+1/12 = 49/12
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