document.write( "Question 356349: A parabola passes through (2,0), (3,0) and (0,3). Find it's equation. \n" ); document.write( "
Algebra.Com's Answer #254382 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "parabola passes through(2,0), (3,0) and (0,3). \r
\n" ); document.write( "\n" ); document.write( "PT(2,0)and PT(3,0) tells us the axis of symmetry is x = 2.5 and 2.5 is the x value of the vertex\r
\n" ); document.write( "\n" ); document.write( "y = a(x-2)(x-3)
\n" ); document.write( "3 = a*6
\n" ); document.write( "1/2 = a
\n" ); document.write( "\"y=+a%28x-h%29%5E2+%2Bk\" (h,k) is the vertex
\n" ); document.write( "\"y+=+%281%2F2+%29%28x+-+2.5%29%5E2+%2B+b\"
\n" ); document.write( "(3,0)
\n" ); document.write( "0 = 1/2 * 1/4 + b
\n" ); document.write( "b = -1/8
\n" ); document.write( "y = .5(x-2.5) -1/8\r
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