Conic Sections: Example 15

Topic

Quadratics

Description

This example shows a vertically aligned parabola opening upward. The general form of its equation is y = a(x - h)² + k, where (h, k) is the vertex and 'a' is positive. The vertex is at the origin, which simplifies the equation. This parabola demonstrates how the position of the vertex affects the graph's location. Vertical parabolas are functions, as each x-value corresponds to a single y-value. Understanding these parabolas is crucial for modeling many real-world phenomena, such as projectile motion or optimization problems in economics.

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