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WAEC Mathematics 2018 Paper

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Question : 12

Total: 50

A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.

y = $x^2 - 5x - 6$
y = $x^2 + 5x - 6$
y = $x^2 + x - 6$
y = $x^2 - x - 6$

Solution:

Since the curve cuts the x-axis at x = -2 and x = 3,

(x + 2)(x - 3) = 0

$x^2 - 3x + 2x - 6$ = 0

$x^2 - x - 6$ = 0

Hence, the equation of the curve is

y = $x^2 - x - 6$

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