Graphing Quadratic Equations: Finding the Vertex and Maximum Height

The video tutorial explains how to model the motion of a ball using a quadratic equation, focusing on finding the maximum height and distance from a hoop. It covers the quadratic formula, solving for zeros, and graphing parabolas by identifying vertices and symmetry. The tutorial applies these concepts to a basketball scenario, demonstrating how to determine the ball's maximum height and Sarah's distance from the hoop.

What is the quadratic equation that models the motion of the ball?

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Explain the significance of the quadratic formula in finding the zeros of a quadratic equation.

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What are the coordinates of the vertex for the equation Y = -X^2 + 3?

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How do you determine the axis of symmetry for a parabola?

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How do you find the maximum height of the ball using the vertex of the parabola?

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What is the relationship between the vertex and the maximum height of the ball?

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How can you use symmetry to find additional points on the parabola?

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