A find the values of a and b for which 1-x2 6x can be
Consider the quadratic function f(x) = 1 - x2 + 6x.
(a) Find the values of a and b for which 1-x2 +6x can be expressed in the form a-(x+b)2. Hence, find the roots of f.
(b) If f(x) = 1 - x2 + 6x has domain 2 x 7, then what is the range of f?
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