Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Secondary 3

A quadratic graph has:

- axis of symmetry \(x=2\);
- minimum value \(-18\);
- two \(x\)-intercepts whose \(x\)-coordinates differ by 6.

Find:

both \(x\)-intercepts;
the equation in vertex form;
the equation in expanded form.

Solution:

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Answer:(a) Intercepts \((-1,0),(5,0)\); (b) \(y=2(x-2)^2-18\) (c) \(y=2x^2-8x-10\).

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