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Advanced Math / Nonlinear functions Difficulty: Easy

f of x equals, x squared, plus 4

The function f is defined as shown. Which of the following graphs in the xy-plane could be the graph of y equals, f of x ?

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Explanation

Choice D is correct. For the quadratic function f of x equals, x squared, plus 4, the vertex of the graph is the point with coordinates 0 comma 4, and because the x squared term is positive, the vertex is the minimum of the function. Choice D is the only option that meets these conditions.

Choices A, B, and C are incorrect. The vertex of each of these graphs doesn’t correspond to the minimum of the given function.