Which function belongs to which parabola?

f(x)  =  x^2 - 2

This is the parent graph  y = x^2   just shifted down 2 units

So....A

(x) = - ( x - 2)^2

This is the parent graph  "flipped" over the x axis  and shited to the right by 2 units

So...C

f(x)  = x^2 - 2x

This turns upward.......it's easier to see if we write it this way

f(x) = x ( x - 2)

This has "zeros"  at x = 0  and x = 2

So....it turns upward and crosses the x axis at  x = 0 and x = 2

So...B

f(x)  = -x^2 + 2x

If we write this as   f(x)  =   - (x^2 - 2x).....it's the same graph as B  "flipped over" the x axis

So.....D

Hope that helps   !!!