Answer:
Option C.
Step-by-step explanation:
We need to find the graph which represents a quadratic function with vertex at (0,0).
The graph of quadratic function is a parabola (either upward or downward) and the extreme point of the parabola is know as vertex.
All graphs represent different parabolas.
Vertex of first parabola = (0,1)
Vertex of second parabola = (0,-1)
Vertex of third parabola = (0,0)
Vertex of fourth parabola = (3,0)
In option C, a parabola opens up on a coordinate plane. It goes through (-5, 6), has a vertex of (0, 0), and goes through (5, 6).
Only third graph represents a quadratic function with a vertex at (0, 0).
Therefore, the correct option is C.