Consider the given function,
[tex]f(x)=-(x-4)(x+1)[/tex]
This is a quadratic function in factor form.
Consider that the function is zero when alteast one of the factors becomes zero,
[tex]\begin{gathered} y=0 \\ -(x-4)\times(x+1)=0 \\ x-4=0\text{ or }x+1=0 \\ x=4\text{ or }x=-1 \end{gathered}[/tex]
Thus, the zeroes of the quadratic function are 4 and -1.
It means that the function passes through the points (-1,0) and (4,0).
Consider that the vertex of a parabolic function is given by,
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