Question

which function has a maximum at (2, 0)?

Explanation:

Step1: Identify max vs min graphs

A maximum means the parabola opens downward (∩-shape). Eliminate the first (yellow) graph, which opens upward (∪-shape, has a minimum).

Step2: Locate vertex at (2,0)

Check the vertex (highest point) of each downward-opening parabola:

• Purple graph: Vertex is at (0, 2) (not (2,0)).
• Orange graph: Vertex is at (2, 0) (matches the required point).
• Teal graph: Vertex is at (0, 4) (not (2,0)).

Answer:

The function represented by the orange graph (third option, with vertex at (2, 0))