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- Rewrite each rule in vertex form and give the axis of symmetry and the y-intercept.y = |6 - 2x|y = -\dfrac{1}{2}|4x + 8| + 3y = |-3x - 9| - 1y = 5 - \dfrac{1}{3}|3x - 12|
- Find the vertex and rule of a V from the lines its two arms lie on.
- Reflect the graph of f across each axis and write the new rules.
- Explore the family of graphs with a changing stretch factor: the shared point and more.
- Write the rule of the absolute value graph shown in the figure.
- Sketch a limited portion of the graph, mark key points and give the range.
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Transforming the absolute value graph: 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