Optimization Using Parabola Vertex

This animation shows how real-world optimization problems, such as maximizing area or minimizing cost, can be modeled with a quadratic function and solved by finding the vertex of its parabola. It walks through setting up the equation from a word problem, identifying whether the vertex gives a maximum or minimum, and calculating the optimal value. Useful for 11th-grade math and science students studying applications of quadratic functions.

Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy

The prompt that made it

مسائل بهینه سازی که با استفاده از ماکسیمم و مینیمم سهمی ها حل می شود را توضیح دهد Audience: یازدهم ریاضی و تجربی

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• Show how to derive the vertex formula x = -b/2a from completing the square
• Animate a fencing problem maximizing enclosed area with fixed perimeter
• Compare optimization using derivatives versus the parabola vertex method