Find a formula for the exponential function passing through the points (-2,1) and (1,8)

Answer 1

y = A(B)^x

Since (1,8) is on the graph, AB = 8. So, B = 8/A.

Since (-2, 1) is on the graph, 1 = A(B)^-2

So, 1 = A(8/A)^-2

1 = A³ / 64

A³ = 64

A = 4

A = 4 and B = 8/4 = 2

Equation: y = 4(2)^x