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Determining Quadratic Equations

Algebra and Graphs Determining Quadratic Equations

🎬 Video Tutorial

Understand the vertex and general form
Finding the vertex form given the vertex and one point
Finding the standard form given the coordinates of three points
Classic real-world application: whether a truck can go through the tunnel

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Quadratic equations with vertex form y = a(x - h)² + k and general form y = ax² + bx + c, labelled as methods for forming quadratic equations.

Forming a quadratic equation using vertex form with equation y = -2(x - 2)² + 3, where the vertex is (2,3) and the curve passes through (3,1).

Forming quadratic equations using the general form y = 2x² - x + 3, solving coefficients with three given points: (0,3), (1,4), and (2,9).

Solving the classic tunnel problem. The parabola equation is y = -5/9 · x² + 5 and the vertex is at (0,5). When x = 1, the truck can pass through.

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