An exact pair of intercepts

An exact pair of intercepts

6 marks
TGM Original
A quadratic has minimum point (2,-9) and y-intercept (0,3). Find its equation. Sketch its graph, labelling all intercepts in exact form.

Solution:

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Answer:\(y=3(x-2)^2-9\); \(x\)-intercepts \((2\pm\sqrt3,0)\), \(y\)-intercept \((0,3)\).

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