Transformations of quadratic functions

Lessons

1. Reflection in the x-axis
   Reflect a quadratic function in the x-axis:
   
   1. Sketch the following functions on the same set of coordinate axes:
      $y = x^2$      VS.      $-y = x^2$
   2. Compared to the graph of $y = {x^2}$, the graph of $- y = {x^2}$ is a reflection in the _______________ .
2. Compared $y = x^2$ to basic quadratic function:
   i) describe every step of transformations
   ii) use transformation concepts to sketch the function
   1. $y = 2(x-3)^2-8$
   2. $y=- \frac{1}{3}(x+5)^2+4$