Relate the domain of a quadratic function to its graph and situation.
Choose an appropriate graph window for a quadratic model in context
Problem
What graph window would be appropriate for this quadratic context: \(h(t)=-16t(t-4)\), height from launch to landing? Use \(70~\text{feet}\) as the top of the height window.
A useful graph window must contain the entire contextual domain and every important output without wasting scale on irrelevant regions. We’ll derive the event’s horizontal endpoints, find its extremum, and compare both sets of values with the proposed axis bounds and requested margin.
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