Transformations of quadratic functions

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Examples

Lessons

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

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