Transformations of quadratic functions

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=x2y = x^2      VS.      y=x2-y = x^2

    b)
    Compared to the graph of y=x2y = {x^2}, the graph of y=x2 - y = {x^2} is a reflection in the _______________ .


  • 2.
    Compared y=x2 y = x^2 to basic quadratic function:
    i) describe every step of transformations
    ii) use transformation concepts to sketch the function
    a)
    y=2(x3)28 y = 2(x-3)^2-8

    b)
    y=13(x+5)2+4 y=- \frac{1}{3}(x+5)^2+4