The strength of an acid or base depends on the degree on of ionization in water. The graph represents a

HA in the graph represents a weak acid.
Is HA an acid or a base?
Apply the Arrhenius Theory of Acids and Bases.
The equation in the picture shows that HA ionizes in water to produce [tex]\text{H}_3\text{O}^{+}[/tex] ions. By the Arrhenius Theory of acids and bases, HA is an acid.
Is HA a weak acid or a strong acid?
Both weak and strong Arrhenius acids ionize in water to produce [tex]\text{H}^{+}[/tex] (or equivalently [tex]\text{H}_3\text{O}^{+}[/tex]) and a conjugate ion. However,
As seen in the bar chart, there are plenty of HA left after ionization. HA ionizes only partially. Also, the equation shows a two-sided arrow. As a result, HA is a weak acid.