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SWBAT… graph absolute value functions

Wed, 10/10. SWBAT… graph absolute value functions. Agenda WU (10 min) Transformations of linear functions (5 min) Absolute value functions (20 min) Transformations of absolute value functions (10 min) Warm-Up:

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SWBAT… graph absolute value functions

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  1. Wed, 10/10 SWBAT… graph absolute value functions Agenda • WU (10 min) • Transformations of linear functions (5 min) • Absolute value functions (20 min) • Transformations of absolute value functions (10 min) Warm-Up: How does the graph of y = x + 2 compare to the parent function graph, y = x? HW#3-Absolute value functions

  2. 1.) |5| = ? Answer: 5 2.) |-5| = ? Answer: 5 3.) |-10| = ? Answer: 10 4.) |0| = ? Answer: 0 5.) |-x| = ? if x = -2 Answer: 2 6.) |x| - 3 = ? if x = -2 Answer: -1 7.) |x - 2| - 1 = ? if x = -2 Answer: 3 8.) -|x + 1| = ? if x = -2 Answer: -1 Absolute Value Review

  3. Absolute Value Function Ex 1: Graph y = |x| by completing a table of values: Parent Function

  4. (HW#3, Problem #2 and #2a) How would the graph of y = |x + 1| transform from the parent function graph, y = |x| The graph of y = |x + 1| would shift one unit to the left from the parent function, y = |x|. Ex 3: Graph y = |x + 1| by completing a table of values:

  5. (HW#3, Problem #3 and #3a) How would the graph of y = |x – 2| transform from the parent function graph, y = |x| The graph of y = |x – 2| would shift two units to the right from the parent function, y = |x|. Ex 3: Graph y = |x – 2| by completing a table of values:

  6. (HW#3, Problem #4 and #4a) How would the graph of y = -|x | transform from the parent function graph, y = |x| The graph of y = -|x | would rotate around the x-axis from the parent function, y = |x|. Ex 3: Graph y = -|x| by completing a table of values:

  7. (HW#3, Problem #5 and #5a) xy -2 -1 0 1 2 y = -|x + 1| How would the graph of y = -|x + 1| transform from the parent function graph, y = |x|? y = -|x + 1| is shifted 1 unit to the left and rotated around the x-axis from the parent function, y = |x| Ex 4: Graph y = -|x + 1| by completing a table of values: y =-|-2 +1| = -1 y =-|-1+ 1| = 0 y =-|0 + 1| = -1 y =-|1 +1| = -2 y =-|2 +1| = -3

  8. How does the graph of y = |x| – 3 transform from the parent function graph of y = |x| ? y = |x| – 3 is shifted 3 units down from the parent function, y = |x| Ex 2: Graph y = |x| – 3 by completing a table of values:

  9. Q: How would the graph of y = |x| + 5 transform from the parent function graph, y = |x|? A: The graph of y = |x| + 5 would shift 5 units up from the parent function, y = |x|.

  10. HW#3, Problem #6 5. Q: How would the graph of y = -|x + 1| + 3 transform from the parent function, y = |x|? A: The graph of y = -|x + 1| + 3 would shift 1 unit to the left shift, 3 units up, and rotate around the x-axis from the parent function graph, y = |x|.

  11. xy -2 -1 0 1 2 y=|x –2| –1 How would the graph of y = |x – 2| – 1 transform from the parent function graph, y = |x|? y = |x – 2| – 1 is shifted 2 units to the right and 1 unit down from the parent function, y = |x| Ex 5: Graph y = |x – 2| –1 by completing a table of values: y =|-2 – 2| –1= 3 y =|-1 – 2| – 1= 2 y =|0 – 2| – 1= 1 y =|1 – 2| –1= 0 y =|2 – 2| – 1= -1

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