A curve is such that when y = 0, x = -2 or x = 3. Find th...
A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.
y = x2−5x−6
y = x2+5x−6
y = x2+x−6
y = x2−x−6
Correct answer is A
Since the curve cuts the x-axis at x = -2 and x = 3,
(x + 2)(x - 3) = 0
x2−3x+2x−6 = 0
x2−x−6 = 0
Hence, the equation of the curve is
y = x2−x−6
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