Unit 7: Quadratic Functions

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Essential Questions: 
  • How can we find the minimum or maximum of a function?
  • What is the relationship of important points on a graph to the equation of the graph?
  • Relationship of length to area (linear -> quadratic).
  • Review forms of a quadratic: standard, vertex, factored
  • Meaning of roots and zeroes - relationship to the graph of the function
  • Quadratic Formula
  • Relationship of sum and product of roots.
Skills and Processes: 
  • Completing the square (method of solution as well as rewriting standard into vertex form).
  • Proof: Proving quadratic formula by two different means.
  • Graphing a quadratic function - plotting roots as well as how to plot when roots are complex.