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Algebra 1

9.11.4 Maximum, Minimum, and Analyzing the Vertex

Algebra 19.11.4 Maximum, Minimum, and Analyzing the Vertex
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1.

Without graphing, find the vertex (of a graph) of the graph of a quadratic function defined by f(x)=−x2−14x−60f(x)=−x2−14x−60. Show your reasoning.

2.

Does the yy-coordinate of the vertex correspond to a maximum or a minimum value of the function? Explain how you know.

Note: If the vertex isn't asked for and the "value of the maximum or minimum" is asked for, the maximum or minimum value occurs at the yy-value of the vertex because that is the value of the coordinate that represents the vertical height of the point.

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