find a quadratic function f(x)=ax^2+bx+c whose graph has a maximum value at 25 and x-intercepts -3 and 2

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find a quadratic function f(x)=ax^2+bx+c whose graph has a maximum value at 25 and x-intercepts -3 and 2

Precalculus
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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You are given the zeros k and l, of the quadratic so you should know that the quadratic is this a(x-k)(x-l). What are k and l? (We will use the max here in a sec)
Wait. This doesn't make sense. How can the max value be at x=25 when 25 is not beteeen -3 and 2. Do they mean the max value is 25?
Well if you decide to come back...Since they are talking about min/max, you can refer also to the vertex form of a parabola: a(x-h)+m where (h,m) is vertex. Have a good day.

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Other answers:

yes maximum value is 25
I really don't know
this should help. pls ask questions if helpful.
1 Attachment
ok thanks
on the fourth line are those "d" or "a"

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