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Graphical Representation of a Quadratic Equation

The graph of ...

Question

The graph of the polynomial f(x) = ax² + bx + c is as shown below (Fig. 2.19). Write the signs of 'a' and b² − 4ac.

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Solution

Clearly, represent a parabola opening upwards. Therefore,

Since the parabola cuts x-axis at two points, this means that the polynomial will have two real solutions

Hence

Hence and

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Graphical Representation of a Quadratic Equation

Standard X Mathematics

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