Question 1125823
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Find the quadratic function that has given vertex and goes through the given point. (5,6), point (-1,0)
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vertex  (5,6)
through point (-1,0)


(Note that leading coefficient will be negative, and the other root is (11,0) , if choosing vertical symmetry axis).


{{{y=a(x+1)(x-11)}}}, using the two zeros;
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{{{6=a(5+1)(5-11)}}}, plugging in vertex values;
{{{6=6*(-6)a}}}

{{{a=-1/6}}}


{{{highlight(y=-(1/6)(x+1)(x-11))}}}