Find a formula for the exponential function passing through the points (-2, 2/9) and (1,6)

Answer 1

y = A(B)^x

Since (1,6) is on the graph, AB = 6. So, B = 6/A.

Since (-2, 2/9) is on the graph, 2/9 = A(B)^-2

So, 2/9 = A(6/A)^-2

2/9 = A³ / 36

9A³ = 72

A³ = 8

A = 2 and B = 6/A = 3

Equation: y = 2(3)^x

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