THETA DIVISION

Question 101

Conic Sections★★★★Question Bank

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Question

Questions #10-12 all concern the same quadratic. Given

f(x)=ax^2+bx+c

where

a,b,c\in\mathbb Z

, Dorin rewrites the function in vertex form as

f(x)=a(x-h)^2+11

. Through further inspection, Dorin finds the focus of the function at

(3,10.75)

. Find

a+b+c

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