Question 819035
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find the quadratic function y = a(x-h)^2 whose graph passes 
through these points: (9,-12) and (3,0)
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            The response by the other tutor is incorrect,

            so I came to bring a correct solution.



<pre>
First use the info, which goes with the point (3,0).


It gives you this equation  0 = a*(3-h)^2,

from which you conclude that h = 3.



Now use the info, which goes with the point (9,-12).

It gives you this equation  -12 = a*(9-3)^2,  or  -12 = {{{6^2*a}}},  

so  a = -{{{12/6^2}}} = -{{{12/36}}} = -{{{1/3}}}.


Thus the quadratic function is  y = {{{(-1/3)*(x-3)^2}}}.    <U>ANSWER</U>
</pre>

Solved (correctly).