1 / 9

Absolute Value

Absolute Value. By: Katie Harbeck, Huy Nguyen, Myle Nguyen, Julie Pham. Welcome to the absolute value lesson. The equation of absolute value is Y=a|x - h| + k A represents slope X is the independent variable H is the X value of the vertex K is the Y value of the vertex. Example:.

leon
Download Presentation

Absolute Value

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. Absolute Value By: Katie Harbeck, Huy Nguyen, Myle Nguyen, Julie Pham

  2. Welcome to the absolute value lesson The equation of absolute value is Y=a|x - h| + k • A represents slope • X is the independent variable • H is the X value of the vertex • K is the Y value of the vertex

  3. Example: The equation is y = 1 | x -3 |-2 The slope is one on either side. The Vertex (3 ,- 2) (H,K)

  4. Parent Function & Shifting The parent function of any absolute value equation is: Y=|x| • The H value in the equation moves the graph left or right • The K value in the equation moves the graph up or down • The A value in the equation dictates the degree of change in the graph and its position ( pointing up or down)

  5. Graph of Parent Function & Example Parent: Y=|x| Equation after shift: Y=|x-3|-2 Shift: 3 Right 2 Down Parent After shift

  6. Slope of the Equation In the equation Y=a|x-h|+k , a represents the slope of the graph. • The value of a determines whether the graph points up or down. • When a is positive, then the graph points up. • If a is negative, the graph points down. • The value of a also determines the width of the graph. • When the value of a is less than 1, the graph will be wider. • When the value of a is greater than 1, the graph will be thinner.

  7. Example: When the value of a is negative When the value of a is positive

  8. Example: When the value of a is greater than 1 When the value of a is less than 1

  9. Hints • Incase! • | | are absolute value lines, to calculate the number within them it is how many places from zero • Example: |31576|=31576, |-31576|=31576 • Common mistake • Example: y=|x+3|-2 In this shifting it is 3 left, 2 down. Even though the 3 looks positive it isn't, because the equation is y=a|x-h|+k and a negative and a negative makes a positive. • Remember other uses of shifting • Shifting with other equations is exactly the same • Example : Quadratics: Y=a(x-h)^2+k

More Related