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9.4B Characteristics of a Quadratic Functions

Standard(s):

  • A.REI.4a: Use a method of completing the square to transform any quadratic equation in x into an equation of the form (x-p)^2 = q that has the same solutions. Derive the quadratic formula from this form.
  • A.REI.4b.: Solve quadratic equations in one variable. Solve quadratic equations by inspection taking square roots, completing the square, the quadratic formula, and factoring as appropriate to the initial form of the equation.
Essential Question:
  • How are quadratic functions used to model, analyze, and interpret mathematical relationships?
  • What are the different ways to solve a quadratic equation, and when is each appropriate?
  • How can analytic and graphical methods be used to support each other in the solution of a problem?
Learning Target:
  • I can write a quadratic equation into the vertex form.
  • I can identify the characteristics of a quadratic functions.

Warm-Up:
     
  • https://docs.google.com/document/d/1dyP6GByCnRdaZ-rt75A8DKqgGb0iLFxhUm6BkiSlHTA/edit?usp=sharing


Notes: 

Click on the image below for the PDF of the notes 9.4B Characteristics of a Quadratic Functions
  • https://drive.google.com/file/d/1knu01zpLxB0y_ijR7JuWn-oj2JQD1L_O/view?usp=sharing


Video:

Click below for the Classroom Lesson -  9.4B Characteristics of a Quadratic Functions
  • https://drive.google.com/file/d/1bmO2kSTP6PnHsbZHRH3X3foUk7YT4Srr/view?usp=sharing

Activities:

Click on the image below for an activity -  Characteristics of a Quadratic Functions
  • https://www.ixl.com/math/algebra-1/write-a-quadratic-function-from-its-vertex-and-another-point

Extra Help:
Click on the image below for help 
http://www.wolframalpha.com/


Assessment/Homework:
Day 1:  Worksheet 9.4 B
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