Determine the lowest possible degree for the polynomial

Question

Match the equation with the graph.

(I.)		(II.)
(III.)		(IV.)

(a)     y = x(x + 3)²(x - 3)

 ---Select--- I II III IV

(b)     y = x(x + 3)(x - 3)²

 ---Select--- I II III IV

(c)     y = x(x + 3)(x - 3)

 ---Select--- I II III IV 

(d)     y = x²(x + 3)(x - 3)

 ---Select--- I II III IV  2-Determine the lowest possible degree for the polynomial whose graph is shown.

 3-Sketch the graph of the function by transforming the graph of a function of the form g(x) = xⁿ.f(x) = (x - 5)³ + 2