Determine which of the following could represent the equation of the parabola shown in the above figure.

y = (x - 2) (x - 3)

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y = (x + 2) (x + 3)

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y = (x + 2) (x - 3)

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y = (x - 2) (x + 3)

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x = (y + 2) (y - 3)

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Solution

The correct option is D $y = (x - 2) (x + 3)$
The parabola intersects the x axis at $x = - 3, 2$
The equation can therefore be written as $y = (x + 3) (x - 2)$ , since this when equated to zero, yields $x = - 3, 2$ as the answers.

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