Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Secondary 3

Consider \(y=-(x-2)(x-6).\)

  1. Find the coordinates of all intercepts with the coordinate axes.

  2. Find the equation of the axis of symmetry and the coordinates of the turning point. State whether it is a maximum or minimum.

  3. Sketch the graph and state its range.

Solution:

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Answer:(a) Intercepts \((2,0),(6,0),(0,-12)\); (b) Maximum TP \((4,4)\); Axis \(x=4\); (c) \(y\le4\).

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