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A quadratic equation is provided, along with the coordinates of its vertex. In y
A quadratic equation is provided, along with the coordinates of its vertex. In your own words, describe the logic that allows one to conclude that: 1) there must be a maximum or minimum value, and 2) the location for that maximum or minimum value must be at the vertex. Also, describe how you would be able to tell, from just the equation and the coordinates of the vertex, whether the quadratic had a maximum value or a minimum value. In formulating your response, consider both a geometric viewpoint (“From the perspective of the graph, what’s going on?”) and an algebraic one (“What do the numbers say, and why?”).
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