Question 1104000
Symmetry axis is the exact middle of  p and 3.
{{{(p+3)/2=2.5}}}

{{{p+3=5}}}

{{{p=2}}}

Now your function is {{{f(x)=a(x-2)(x-3)}}}




{{{a=f(x)/((x-2)(x-3))}}}
Use the given y-intercept  (0,-6).
{{{a=-6/(-2*(-3))}}}

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

{{{a=-1}}}


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{{{highlight(f(x)=-(x-2)(x-3))}}}