Answer
$f(x)=\log_{2}(-x+3)\ -2$
Work Step by Step
Based on the given graph and data points, it is possible to obtain the curve with $y=log_2(x)$, reflect across the y-axis, then shift 3 units to the right and 2 units down, thus $f(x)=\log_{2}(-x+3)\ -2$
