Question: How do I solve an equation with several properties on maple?

I want to be able to check an answer using Maple. Say perhaps I have a question such as "Find d,e,f such that f(x)=dx2+ex+f has the properties f(0)=4, f(3)=7, f(-2)=18".

The question is completely theoretical as I don't want to use the same question that I have been given myself and be accused of cheating, maybe the particular features that I have chosen are completely absurd.

My question is how would I go about using Maple to find/check that I have the correct values of d,e and f?

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