Answer
The graph is a parabola that passes through the origin.
Work Step by Step
The meaning of c in $f(x)=ax^{2}+bx+c$ is obtained when we observe
$f(0)=0+0+c=c$
That is, the graph, which is a parabola,
intersects the y-axis in the point $(0,c).$
If c=0, the graph is a parabola that passes through the origin.