Answer
$y=2\cdot3^x$.
Work Step by Step
$y=Ab^x$.
We can see that $(0,2)$ is on the graph hence after plugging in these values: $2=Ab^0\\2=A\cdot1\\2=A$.
We can see that $(1,6)$ is on the graph and $A=6$ hence after plugging in these values: $6=Ab^1\\6=2\cdot b\\3=b$.
Hence $y=2\cdot3^x$.