Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Secondary 3

For \(y=(x+2)^2-9,\) find:

  1. the turning point, axis of symmetry and range;

  2. all intercepts;

  3. the translation taking \(y=x^2\) to this graph.

Sketch the graph.

Solution:

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Answer:(a) Vertex \((-2,-9)\), Axis \(x=-2\), Range \(y\geq-9\); (b) Intercepts \((-5,0),(1,0),(0,-5)\); (c) Left \(2\), Down \(9.\)

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