Quadratic function question

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Find an equation of the quadratic function whose f has zeros -1 and 3 and a maximum value of 8.

I've tried to use intercept form, but I'm not sure wha to do with the maximum value of 8.

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Since the function is quadratic and has zeroes at -1 and 3, it must have the form $$f(x) = c(x+1)(x-3)$$ for some constant $c$. Can you take it from there?