Answer
$(y-1)^2=x$
Work Step by Step
1. Use the given graph, the parabola opens to the right with vertex $(0,1)$, thus we have $(y-1)^2=4p(x)$
2. Use the point $(1,2)$, we have $(2-1)^2=4p(1)$, thus $p=\frac{1}{4}$
3. The equation is $(y-1)^2=x$