What rule will represent the function, (0,0), (1,1), (2,4), (3,9), (4,16)

a (n) = (n-1) ^2

Step-by-step explanation:

Notice that each of the y-values {0, 1, 4, 9, 16, ... } is a perfect square. Thus,

the rule is a (n) = (n-1) ^2.

Check: if n = 0, is (n-1) ^2 = 0? yes

if n = 3, is (3-1) ^2 = 4? yes

y = x²

Step-by-step explanation:

y = x * x

y = x²

1 = 1²

4 = 2²

9 = 3²