1 / 9

3.2 Families of Graphs

3.2 Families of Graphs. Family of graphs – a group of graphs that displays one or more similar characteristics. Parent graph – basic graph that is transformed to create other members in a family of graphs.

zorana
Download Presentation

3.2 Families of Graphs

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. 3.2 Families of Graphs

  2. Family of graphs – a group of graphs that displays one or more similar characteristics • Parent graph – basic graph that is transformed to create other members in a family of graphs. • Reflections and translations of the parent function can affect the appearance of the graph. The transformed graph may appear in a different location but it will resemble the parent graph.

  3. Reflection – flips a figure over a line called the axis of symmetry. y = -f(x) is reflected over the x-axis. y = f(-x) is reflected over the y-axis.

  4. Ex 1Graph f(x) = x3 and g(x) = -x3. Describe how the graphs are related.

  5. Translations – when a constant c is added or subtracted from a parent function, the result f(x) + or – c, is a translation of the graph up or down. • When a constant c is added or subtracted from x before evaluating a parent function, the result f(x + or – c) is a translation left or right. • y = f(x) + c: up c • y = f(x) – c: down c • y = f(x + c): left c • y = f(x – c): right c

  6. Ex 3Use the parent graph y = x3 to graph the following: y = x3 – 1 y = (x – 1)3 y = (x – 1)3 + 3

  7. Dilation – shrinking or enlarging a figure • When the leading coefficient of x is not 1, the function is expanded or compressed • y = c(f(x)), c >1: expands vertically • y = c(f(x)), 0<c<1: compresses vertically • y = f(cx), c >1: compresses horizontally • y = f(cx), 0<c<1: expands horizontally

  8. Ex 4Describe how the graphs are related.

More Related