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Vocabulary

1.9. Graph Absolute Value Functions. Vocabulary. The distance to 0 on the number line. Absolute value. Transformations of the parent function f ( x ) = | x |. Absolute value Function. 1.9. Graph Absolute Value Functions. Graph of the Parent Function For Absolute Value Functions.

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Vocabulary

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  1. 1.9 Graph Absolute Value Functions Vocabulary The distance to 0 on the number line. Absolute value Transformations of the parent function f (x) = |x|. Absolute value Function

  2. 1.9 Graph Absolute Value Functions Graph of the Parent Function For Absolute Value Functions Comparing Graphs of Absolute Value Functions with the Graph of f (x) = |x| horizontal The graph of g is a ___________ shift of the graph of f (x) = |x|. The shift is h units __________ if h > 0 and |h| units _______ if h < 0. The graph of h (x) = |x + h| is a ______________ in the y-axis of the graph of g. right left reflection

  3. 1.9 Graph Absolute Value Functions Graph of the Parent Function For Absolute Value Functions Comparing Graphs of Absolute Value Functions with the Graph of f (x) = |x| vertical The graph of g is a ___________ shift of the graph of f (x) = |x|. The shift is k units __________ if k > 0 and |k| units _______ if k < 0. up down

  4. 1.9 Graph Absolute Value Functions Graph of the Parent Function For Absolute Value Functions Comparing Graphs of Absolute Value Functions with the Graph of f (x) = |x| stretch If |a| > 1, the graph of g is a vertical _________ of the graph of f (x) = |x|. If 0 < |a| <1, the graph of g is a vertical ________ of the graph of f (x) = |x|. The graph of h (x) = -a |x | is a ____________ in the x-axis of the graph of g. shrink reflection

  5. 1.9 Graph Absolute Value Functions Example 1 Compare the graph with the graph of f (x) = |x|. Make a table of values. Graph the function. Compare the graphs of g and f. a. The graph of g(x) = |x + 1| is a ______________________________ of the graph of f (x) = |x|. horizontal shift 1 unit to the left

  6. 1.9 Graph Absolute Value Functions Example 1 Compare the graph with the graph of f (x) = |x|. Make a table of values. Graph the function. Compare the graphs of g and f. b. The graph of g(x) = |x| - 2 is a ___________________________ of the graph of f (x) = |x|. vertical shift 2 units down

  7. 1.9 Graph Absolute Value Functions Checkpoint. Graph the function. Compare the graph with the graph of f (x) = |x|. The graph of g is a ___________________________ of the graph of f. horizontal shift 3 units to the right

  8. 1.9 Graph Absolute Value Functions Checkpoint. Graph the function. Compare the graph with the graph of f (x) = |x|. The graph of g is a ____________________ of the graph of f. vertical shift 2 units up

  9. 1.9 Graph Absolute Value Functions Example 2 Compare the graph with the graph of f (x) = |x|. Make a table of values. Graph the function. Compare the graphs of g and f. a. The graph of g(x) = -2 |x| opens ______ and is a ________________ of the graph of f (x) = |x|. vertical stretch down

  10. 1.9 Graph Absolute Value Functions Example 2 Compare the graph with the graph of f (x) = |x|. Make a table of values. Graph the function. Compare the graphs of g and f. b. The graph of g(x) = -2 |x| opens ______ and is a ________________ of the graph of f (x) = |x|. vertical shrink up

  11. 1.9 Graph Absolute Value Functions Checkpoint. Graph the function. Compare the graph with the graph of f (x) = |x|. The graph of g opens up and is a vertical stretch of the graph of f.

  12. 1.9 Graph Absolute Value Functions Checkpoint. Graph the function. Compare the graph with the graph of f (x) = |x|. The graph of g opens down and is a vertical shrink of the graph of f.

  13. 1.9 Graph Absolute Value Functions

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