Transformations of quadratic functions

Lessons

• 1.
  Reflection in the x-axis
  Reflect a quadratic function in the x-axis:
  
  a)

  Sketch the following functions on the same set of coordinate axes:
  $y = x^2$      VS.      $-y = x^2$
  
  
  b)

  Compared to the graph of $y = {x^2}$, the graph of $- y = {x^2}$ is a reflection in the _______________ .
  
  

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• 2.
  Compared $y = x^2$ to basic quadratic function:
  i) describe every step of transformations
  ii) use transformation concepts to sketch the function
  a)

  $y = 2(x-3)^2-8$
  
  
  b)

  $y=- \frac{1}{3}(x+5)^2+4$
  
  

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