In GCSE my teacher briefly went thought f(x) notation but that's it. I've never done this sort of question and I'm really confused and I haves ton of them to do! So if someone could kindly show me how to do this so I can learn from it and do the rest. Any help will be much appreciated. Thanks in advance.
Question
f(x) = 3 + 4x - x^2
a) express f(x) in the form a(x + b)^2 + c
b) state the coordinates of the turning point of the curve y = f (x)
c) solve the equation f(x) = 2 , giving your answers in the form d + e(root5)