Transforming Graphs

Description

Transforming Graphs | C1 OCR Maths
james_hobson
Mind Map by james_hobson, updated more than 1 year ago
james_hobson
Created by james_hobson almost 10 years ago
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Resource summary

Transforming Graphs
  1. Translation
    1. y-direction
      1. f(x) + k
        1. Graph translates up the y scale by k units
        2. f(x) - k
          1. Graph translates down the y scale by k units
        3. x-direction
          1. f(x+k)
            1. Graph translates in the negative x-direction by k units
            2. f(x-k)
              1. Graph translates in the positive x-direction by k units
          2. Reflection
            1. In the x-axis
              1. -f(x)
                1. y values become negative, so reflected in the x-axis
                2. In the y-axis
                  1. f(-x)
                    1. x values become negative, so reflected in the y-axis
                  2. Stretch
                    1. y-direction
                      1. y=kf(x)
                        1. Stretch in the y-direction, scale factor k
                        2. x-direction
                          1. y=f(kx)
                            1. Stretch in the x-direction, scale factor 1/k
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