,1. The point P (−2, −5) lies on the curve with equation y = f (x), x∈
Find the point to which P is mapped, when the curve with equation y = f (x)
is transformed to the curve with equation
(a) y = f (x) + 2
(1)
(b) y = | f (x) |
(1)
(c) y = 3f (x − 2) + 2
(2)
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, 2. f (x) = (x − 4)(x2 − 3x + k) − 42 where k is a constant Given that (x + 2) is a
factor of f (x) , find the value of k.
(3)
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