SOLUTION: Find a such that f(x)=ax^2 -4x +3 has a maximum value of 12

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Question 975177: Find a such that f(x)=ax^2 -4x +3 has a maximum value of 12
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!




is a parabola with vertex at where and .

Evaluate , set the resulting polynomial in equal to 12, and then solve for

Hint: Since you are looking for a maximum, the parabola must open downward, which is to say that . If you don't come up with a negative value for , check your arithmetic.

John

My calculator said it, I believe it, that settles it

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