document.write( "Question 709087: The zeros of a quadratic relation are 0 and 6. The relation has a minimum value of -9. Find the equation of the parabola.
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Algebra.Com's Answer #436399 by josgarithmetic(39627) $\"\"$ $\"About$

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Assuming this parabola has a vertical axis, we can find the other coordinate of the minimum. Zeros at x=0 and x=6 mean that the symmetry axis runs directly in the middle, at x=3. Vertex (the minimum point in this case) is at (3,-9).\r
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\n" ); document.write( "\n" ); document.write( "You now have something which in standard form can be written as
\n" ); document.write( " $\"y=a%28x-3%29%5E2-9\"$ , which has only one undetermined value, \"a\". The x and y are variables but would ordinarily remain as variables. You can still use the given points (0,0) and (6,0) to help find the still unknown \"a\". \r
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\n" ); document.write( "\n" ); document.write( "Known points for this graph: (0,0), (6,0), (3,-9).\r
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\n" ); document.write( "\n" ); document.write( "The rest of the description of this solution is still left unfinished, but maybe you can decide what to do the rest of the way. \n" ); document.write( "

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