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The vertex is the absolute maximum or minimum of a parabola. The axis of symmetry is the vertical line that divides the graph into two mirror images.
Vertex: (1,4)
Axis of Symmetry: x=1
Domain: All real numbers
Range: y≤ 4
Behavior: When x < 1, y increases as x increases. When x > 1, y decreases as x increases.
By paying close attention to the given graph, we can identify key characteristics such as the vertex, axis of symmetry, domain, range, and behavior.
From the graph we can note the following.