2.7 Use Absolute Value Functions

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Presentation transcript:

2.7 Use Absolute Value Functions

Vocabulary Absolute Value Function: f(x) = |x| Vertex: highest or lowest point on the graph of an absolute value function. Transformation: changes graph size, shape, position, or orientation. Translation: is a transformation that shifts a graph horizontally and/or vertically, but does not change its size, shape, or orientation.

Graphing an Absolute Value Function y = |x – h| + k Vertex: (h,k) Horizontal translation: h Vertical translation: k Slope: 1

Change the shape of the V: y = a|x| Is a vertical stretch or shrink of the V “|a|” is less than 1, (shrink) or wide “|a|” is greater than 1, (stretch) or narrow “-a” turns the V down

Practice Problems: Page 125 (1-3)