Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Secondary 3

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

  1. Find the intercepts with the coordinate axes.

  2. Find the turning point and the axis of symmetry.

  3. Sketch the graph and state its range. Explain why the graph touches the \(x\)-axis without crossing it.

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Answer:(a) Intercepts \((2,0),(0,4)\); (b) Minimum TP \((2,0)\); Axis \(x=2\); (c) \(y\ge0\); repeated root.

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