1 / 11

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:

mary-battle
Download Presentation

SWBAT… graph absolute value functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related