Answer
$y=0.5\cdot8^x$
Work Step by Step
Let $y=ab^x$.
Then our equations are: $4=ab^1$ and $32=ab^2$.
If we divide the second equation by the first one we get: $8=b$.
Then $4=a\cdot8^1=8a\\a=0.5$.
Thus $y=0.5\cdot8^x$
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