2. The vertex of a parabolic curve y=g(x) has the coordinates (2,-4). Write down the coordinates of the vertex of the curve with equation:
a y=g(x-3)
c y=-g(x)
e y=2 g(x)
3. Given the functions f(x)=-x², x ∈ R and g(x)=x²+2 x+8, x ∈ R :
a write g(x) in the form (x+a)²+b, where a and b are constants
b describe two transformations (and the order in which they should be applied) such that the graph of g(x) can be obtained from the graph of f(x).