Display Title

Math Example--Quadratics--Conic Sections: Example 14

Conic Sections: Example 14

Conic Sections: Example 14

Topic

Quadratics

Description

This example shows a horizontal parabola opening to the right, with its vertex in the fourth quadrant. The equation would be x = a(y - k)² + h, where 'a' is positive, and (h, k) represents the coordinates of the vertex. This example is particularly useful for demonstrating how the parabola's shape and position are affected when the vertex is in different quadrants. It reinforces the understanding of transformations applied to the basic parabola equation and how these transformations are reflected in the graph. As a conic section, this parabola exemplifies the rich interplay between algebra and geometry, which is fundamental to many areas of mathematics and its applications.

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