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Math Example--Quadratics--Conic Sections: Example 16

Conic Sections: Example 16

Conic Sections: Example 16

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 vertexis on the x-axis, which somewhat 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.

For a complete collection of math examples related to Quadratics click on this link: Math Examples: Quadratics Collection.

Common Core Standards CCSS.MATH.CONTENT.HSG.GPE.A.1, CCSS.MATH.CONTENT.HSG.GPE.A.2, CCSS.MATH.CONTENT.HSG.GPE.A.3
Grade Range 9 - 12
Curriculum Nodes Algebra
    • Functions and Relations
        • Conic Sections
Copyright Year 2013
Keywords conic section, quadratic relations