Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Secondary 3

For \(y=(x-1)(x-5),\) find:

  1. both \(x\)-intercepts and the \(y\)-intercept;

  2. the axis of symmetry and turning point;

  3. the minimum value of \(y\).

Sketch the graph.

Solution:

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Answer:(a) Intercepts \((1,0),(5,0),(0,5)\); (b) Axis \(x=3\); Vertex \((3,-4)\); (c) Minimum \(-4\).

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