Question

Write an exponential function in the form of y=ab^x passing through the points (0,6) and (2,96)

Answer 1

Here you have an equation with two unknown constants, a and b, plus 2 sets of points through which the graph goes.

Second point:  96 = a(b)^2
First point:          6 = a(b)^0             Then a = 6.

With a = 6, we can now write:  96 = 6b^2.  Then b^2 = 16, and b=4.

Then y =6(4)^x (answer)