Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 6) and (2, 384)

Question

it should start with y =

Answer 1

y = ab^x

Use the 2 given points to set up and solve a system of 2 equations in 2 unknowns a and b.

6 = ab⁰ = a

a = 6

384 = 6(b²)

b = 8

y = 6 (8^x)