Write an exponential function in the form y=ab^x that goes through points (0,16) and (2,1296)

Question

Exponential function

written in y=ab^x form

Answer 1

y = ab^x

a is the y-intercept

y = 16b^x

Now substitute 2 for x and 1296 for y

1296 = 16(b)²

81 = b²

b = 9

y = 16(9)^x

Answer 2

y = ab^x

Use the 2 given points to find a and b.

16 = ab⁰ = a

a = 16

1296 = 16b²

b = √(1296/16) = 9

y = 16 (9)^x