A maximum fixes the scale

A maximum fixes the scale

6 marks
TGM Original
A quadratic has roots 1 and 5 and maximum value 12. Find its equation and sketch it, labelling all axis intercepts and its maximum point.

Solution:

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Answer:\(y=-3(x-1)(x-5)=12-3(x-3)^2\); \(y\)-intercept \((0,-15)\), vertex \((3,12)\).

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