Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 4)(0,4) and (2, 196)(2,196).

Answer 1

y = ab^x.

Then, 4 = ab⁰ = 4. Now y = 4b^x; 196 = 4b²; b = √49 = 7

So, y = 4·7^x