Answer
$y=2⋅3^x$
Work Step by Step
The function has the form of $y=Ab^x$
We see that the point $(0,2)$ lies on the graph. This means that $x=0; y=2$
Now, plugging in these values: $2=Ab^0 \implies A =2$
Next, we have: $x=1, y=6$
Thus: $6= A b^1 \implies 6=2b $
or, $b=3$
Thus, the required form of the function is: $y=2⋅3^x$
