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Math Example--Quadratics--Completing the Square: Example 8

Completing the Square: Example 8

Completing the Square: Example 8

Topic

Quadratics

Description

This example illustrates completing the square for a quadratic equation with negative coefficients. It highlights the need for careful manipulation of terms throughout the process. This example enhances skills in algebraic manipulation. By converting to vertex form, it provides a clear view of the quadratic function's characteristics, including its axis of symmetry and vertex, which are crucial for graphing and solving quadratic equations. The process also demonstrates how to handle more complex coefficients in quadratic expressions.

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

Common Core Standards CCSS.MATH.CONTENT.HSA.SSE.B.3.B, CCSS.MATH.CONTENT.HSA.REI.B.4.A, CCSS.MATH.CONTENT.HSA.REI.B.4.B
Grade Range 9 - 11
Curriculum Nodes Algebra
    • Quadratic Functions and Equations
        • Quadratic Equations and Functions
Copyright Year 2021
Keywords complete the square, quadratic equations, solving quadratic equations