10 The function f is defined by f : x ? 2x2 ? 12x + 13 for 0 ? x ? A, where A is a constant.
(i) Express f(x) in the form a(x + b)2 + c, where a, b and c are constants. [3]
(ii) State the value of A for which the graph of y = f(x) has a line of symmetry.(iii) When A has this value, find the range of f. [2]The function g is defined by g : x ? 2x2 ? 12x + 13 for x ? 4.
(iv) Explain why g has an inverse. [1](v) Obtain an expression, in terms of x, for g?1(x). [3]
Answers for (ii) is : symmetrical about
x=3 and
A=6can someone explain to me why is it A=6?? I just can't figure it out. Thanks!!!
And how do I solve part (iii) and (iv).
THANKS IN ADVANCE,