If x=0 and y=4 and when x=1 y=2 the formula is y=aXbxsquared what is a and b

Question

X Y

0 4

1 2

2 1

3 1/2

4 1/4

 

the exponential function by the table can be written in the form y=ab to the X / what is a and b

Answer 1

a =4

b= 1/2

y = ab^2

4 = ab^0 = a

a = 4

y =4b^2

2 =4(b)^1= 4b

b = 2/4 = 1/2

y = 4(1/2)^x

1 = 4(1/2)^2 = 4(1/4) = 1

1/2 = 4(1/2)^3 = 4(1/8) = 4/8 = 1/2