Interpret key graph/table features of quadratic models in context.
Match a real-world situation to a quadratic graph description using maximum or minimum
Problem
Describe the height-versus-time graph for a ball that rises, reaches a peak, and then lands. Identify the axis meanings, opening direction, maximum, landing intercept, and the physically retained time interval, and explain how each graph feature matches the motion.
Matching a story to a graph begins by assigning the input and output quantities, then translating each event word into a feature. We’ll connect rising and falling to direction of change, a peak to the vertex type, landing to a zero-height intercept, and the physical flight to a restricted time interval.
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