Looking at the graph
we have an x-intercept at (2,0) and a vertical asymptote at x=0
so
Verify each function
A -----> not satisfy both conditions
B -----> satisfy both conditions
C ----> not satisfy both conditions
D ----> not satisfy one condition
E ----> not satisfy one condition
F ----> not satisfy both conditions
G ----> not satisfy one condition
H ----> not satisfy one condition
therefore