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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