1 / 7

By: Hannah Murphy

Chapter 2.8!. By: Hannah Murphy. Flashback !. Remember earlier this year you learned the absolute value of x equals x, if x>0 0, if x=0 -x, if x<0 The point on a graph were two rays meet is the vertex!. Graphing Absolute Value .

nike
Download Presentation

By: Hannah Murphy

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. Chapter 2.8! By: Hannah Murphy

  2. Flashback ! • Remember earlier this year you learned the absolute value of x equals x, if x>0 0, if x=0 -x, if x<0 • The point on a graph were two rays meet is the vertex!

  3. Graphing Absolute Value • In order to graph y= a (x-h) + k you must know the following characteristics • The graph has vertex (h,k) and is symmetric in the line x=h • The graph is v shaped and opens up if a>0 and down if a<0

  4. Graphing Absolute Value • The graph gets wider if the absolute value of a is less than one, and gets narrower if a is greater than one • Graph is wider than y = |x| if a<1 • Graph is narrower than y = |x| if |a|>1

  5. Writing an equation when the graph is provided • Start with the equation format: y = a|x-h| + k • Next find vertex (point at which the graph opens up) – this is (h,k) • Now substitute in the vertex (h,k) into the equation

  6. Writing an equation when the graph is provided • To find the value of a, substitute the coordinates of a point on the graph into the equation and solve for a • Now you have a and you can write the equation

  7. Review • Write down the equation format first y=a|x-h| +k • If you are graphing, find the vertex first (h,k) • Remember that the graph is symmetric in the line x = h • These are v shaped and a tells you if it opens up or down depending if > or < 0 • The width of the graph is determined by a again • You may find it helpful to plot the vertex and one other point, use symmetry to plot a 3rd • Remember that Absolute Value Functions are absolutely fun!

More Related