Question

what is the maximum value of this graph?

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image created for vva via desmos; 2024

(2,1)
(2,3)
(4,1)
(3,2)

Explanation:

Identify the vertex of the parabola

The graph is a downward-opening parabola. The highest point (vertex) represents the maximum value of the function.

Read the coordinates of the vertex

Looking at the grid, the peak of the curve occurs at:

$$ x = 3 $$

$$ y = 2 $$

Thus, the vertex is located at the coordinate point \((3, 2)\).

Match with the given options

The coordinate point representing the maximum value is \((3, 2)\).

Answer:

• (2,1)
• (2,3)
• (4,1)
• (3,2) (Correct answer)