Display Title
Math Example--Quadratics--Completing the Square: Example 6
Display Title
Math Example--Quadratics--Completing the Square: Example 6
Completing the Square: Example 6
Topic
Quadratics
Description
This example demonstrates completing the square for a quadratic equation with a leading coefficient of 1. The process requires careful manipulation of terms. This technique is crucial for transforming quadratic equations into vertex form, which reveals the parabola's axis of symmetry and vertex. The algebraic skills involved include factoring, fraction arithmetic, and simplifying expressions. By converting to vertex form, this method provides insights into the quadratic function's minimum or maximum point, facilitating easier graphing and analysis of the parabola's properties.
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 | completing the square, quadratic equations, solving quadratic equations |
