Maths MethodsTransformations of graphs             K McMullen 2012
TransformationsTransformations help us explain how an originalbasic function has been transformed to create anew functionT...
TransformationsDilation: makes the graph steeper or flatter   Dilation from the x-axis (parallel to the y-axis):   Stretch...
TransformationsReflection: reflects the graph along the axis(does not changes the shape of the graph)   Reflection in the ...
TransformationsTranslation: shifts the entire graph sideways orup or down (does not change the shape of thegraph)   Horizo...
TranslationsTable on pg.33 of notesAlso, refer to page 120 of textbook for anothertable summarising the features of differ...
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Methods5 transformations

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Methods5 transformations

  1. 1. Maths MethodsTransformations of graphs K McMullen 2012
  2. 2. TransformationsTransformations help us explain how an originalbasic function has been transformed to create anew functionTransformations include Dilations, Reflections,and TranslationsAlways do your transformations in this order-remember D-R-T (DiRT, although there’s no i) K McMullen 2012
  3. 3. TransformationsDilation: makes the graph steeper or flatter Dilation from the x-axis (parallel to the y-axis): Stretches or compresses (dependent on the dilation factor) along the y-axis Dilation from the y-axis (parallel to the x-axis): stretches or compresses (dependent on the dilation factor) along the x-axis K McMullen 2012
  4. 4. TransformationsReflection: reflects the graph along the axis(does not changes the shape of the graph) Reflection in the x-axis: A reflection in the x-axis changes the sign of the y-coordinates while leaving the x-coordinates unchanged. The x-axis acts as a mirror. Reflection in the y-axis: A reflection in the y-axis changes the sign of the x-coordinates while leaving the y-coordinates unchanged. The y-axis acts as a mirror. K McMullen 2012
  5. 5. TransformationsTranslation: shifts the entire graph sideways orup or down (does not change the shape of thegraph) Horizontal translation (parallel to the x-axis): it slides the graph to the left or right Vertical translation (parallel to the y-axis): it slides the graph up or down K McMullen 2012
  6. 6. TranslationsTable on pg.33 of notesAlso, refer to page 120 of textbook for anothertable summarising the features of different graphsAnswer the following questions: 2A: 1-9 2B: 1-12 2C: 1-11 2D: 1-12 2E: 1-12 K McMullen 2012

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