Q) The function f is defined by f : x → 2x^2 − 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.
(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
Now I have no clue on how to do (ii) which is linked with (iii). Will appreciated your help!
The graph of y=2*x^2 is similar, but all points are in the double height -- it goes through (0,0),(1,2),(2,8).
Your function is - so you simply have to move the graph of 3 units to the right and 5 units lower.
(I hope I was able to express myself clearly despite not being native English speaker.)