Hello,

You can do it this way :

- graph y=x². (I guess you know how to do it... ?)

- graph y=(x-2)² by translating the graph of x² of two units to theright(because x becomes x-2)

- graph y=-1/3*(x-2)² : multiplying by a constant. So the general appearancewon't change, but because it's a negative constant, all the positive y will become negative, though the absolute value staysstill. It's a symmetry to the x axis.

- graph y=-1/3*(x-2)²+1 : add 1 to the y, that is to say "elevate the curve of 1 unit"

Does it look clear to you ?