MathematicsMiddle School

Quadratic functions

Vertex and extrema by completing the square

Estimated time · 12 min 9 Content blocks

Core concepts

Formulas

y=y =
\left(x + \dfrac{
}{2
}\right)^2 + \dfrac{4
−-
}{4
}

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Diagrams

y = 0.5x² − 2
A parabola and its vertex

Derivation

  1. 1
  2. 2
  3. 3

Worked example

Worked example
Example
Solution steps
  1. 1
  2. 2
  3. 3
Answer
Practice setQuadratic practice
Answered 0 / 3
1Fill in the blank
2Fill in the blank
3True / False
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Glossary

Parabola
Vertex

Prerequisites

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