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- Decide for each pair whether the second function is minus f, f of minus x, both or neither.f(x) = x^2 - 6x, \;g(x) = x^2 + 6xf(x) = \dfrac{1}{x - 4}, \;g(x) = \dfrac{1}{4 - x}f(x) = 2x^2 - 3, \;g(x) = -2x^2 - 3f(x) = x^3 - x, \;g(x) = x - x^3
- Reflect the marked points of the graph in the figure across each axis.
- Check Aisha's rewriting of f(-x) for a quadratic and find her mistake.
- Reflect a square root graph across both axes and compare the order of the steps.
- Word problem: the arch of a stone footbridge and its reflection.
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Reflecting a graph across the axes: the lesson ›More Chapter 1 worksheets: Parent functions and transformations
- 1.1The squaring and cubing functions
- 1.2The square root and reciprocal functions
- 1.3Shifting a graph up, down, left and right
- 1.4Reflecting a graph across the axes
- 1.5Stretches and compressions
- 1.6Combining transformations and the general form
- 1.7Graphing by transforming a parent graph
- 1.8Finding the rule of a transformed graph or table
- 1.9Transforming the absolute value graph
- 1.10Symmetry about the vertical axis and the origin
- 1.11Even and odd functions
- 1.12Linear functions in context
- 1.13Domain and range from a graph