Question

Write an exponential function in the form y=ab^xy=ab x that goes through points (0,8) and (2,288)

Answer 1

y = 8•6^x

Explanation:

Here, we want to write an exponential equation

To fully write this, we need the values of a and b

From the first coordinates given;

8 = a•b^0

a = 8 since b^0 = 1

Furthermore;

288 = 8•b*2

b^2 = 36

b = √36

b = 6

So we have ;

y = 8•6^x