Let f(x) = 3x^2 +6x +1 and g(x) = 3x^2 -12x +10.
a) Find the coordinates of the vertices of the graphs of y = f(x) and y = g(x).
b) If the graph of y = f(x) is translated to the graph of y = g(x),
i) describe the transformation,
ii) find the symbolic relation between f(x) and g(x).