Quadratic Function

Parts of Quadratic Function
  • Vertex
  • Axis of Symmetry
  • Y intercept 
  • X intercept(s)
  • Points on Parabola
  • Focus of Parabola
  • Directrix Line
  • Piecewise Inverse(s) of Quadratic Functions
Forms of a Quadratic Function
  • Standard Form
  • Vertex Form
  • Intercept Form
  • Factored Form
  • Special Forms of a Quadratic
Transformations
  • Single ​Transformation
  • Two Transformations
  • Three or More Transformations
Solving Quadratic Equations
  • Factoring A = 1
  • Factoring A not 1
  • Factoring Special Quadratics
  • Quadratic Formula
  • Use of the Vertex Form 
  • Completing the Square
  • Using Graphing Technology
  • Approximation through IVT (Location Principle)
Graphing Quadratic Inequalities and Systems of Quadratic Inequality
  • Greater than
  • Greater than or equal to
  • Less than
  • Less than or equal to 
  • Bounded Regions
  • Unbounded Regions
Solving Quadratic Systems
  • Line and Parabola
  • Two Parabolas
  • Parabola and Circle
  • Parabola and Ellipse
  • Parabola and Hyperbola
  • Two Circles
  • Circle and Ellipse
  • Circle and Hyperbola
  • Two Ellipses
  • Ellipse and Hyperbola
  • Two Hyperbolas
Parts of Quadratic Function
Quadratic Parent Function
Forms of the Quadratic Function
Link to Standard Form
Link to Vertex Form
Link to Intercept Form
Link to Factored Form
Transformations of the Quadratic Function
Single
​Transformation​
Two
​Transformations
Three or More Transformations
Solving Quadratic Equations, Systems, and Inequalities
Methods for Solving Quadratic Equations
Discriminant
Graphing Quadratic Inequalities
Graphing Systems involving Quadratic Functions
Applications of a Quadratic Model
Links and Resources
LTM Calculus
LTM Advanced and Applied Calculus
LTM Multi-variate Calculus LTM Vector Calculus
LTM Various Texts LTM Descriptive Statistics LTM Elementary Statistics
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​Mr. Hickman's Resources