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Math Example--Quadratics--Conic Sections: Example 20

Conic Sections: Example 20

Conic Sections: Example 20

Topic

Quadratics

Description

This example shows a vertically aligned parabola opening upward with its vertex in the third quadrant. The equation would be of the form y = a(x - h)² + k, where 'a' is positive and (h, k) represent the y-coordinate of the vertex. It's an excellent example for understanding how the position of the vertex on the y-axis affects the equation of the parabola. Such parabolas are important in physics for modeling free-fall motion and in engineering for designing structures like suspension bridges.

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