Question 1187461
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find the equation of the parabola determined by the given condition: 
axis vertical and passing through (0,0), (1,0), and (5,-20).
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<pre>
From the condition, you see that the quadratic polynomial has zeroes at x= 0 and x= 1.


It means that the quadratic polynomial has this factored form

    y(x) = ax*(x-1),


where "a" is an unknown coefficient.


To find this coefficient, use the third point, which says that  y(5) = -20

    a*5*(5-1) = -20,

or

    20a = -20,

which gives  a = -20/20 = -1.


So, the sough function (polynomial) is  y(x) = -x*(x-1) = -x^2 + x.    <U>ANSWER</U>
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Solved.