AP Calculus Summer Packet Topic 5 Video

Embed

Social
Select the file type you wish to download
Slide Content
Tags:
AP Calculus

Slide 1  AP Calculus Summer Packet
 Topic 5: Transformations

Slide 2  Translations/Slides
 Any transformation that causes the function to move vertically and/or horizontally
 The shape of the function is unchanged (not stretched/nor shrunk)
 is a transformation that moves the function up/down a units
 is a transformation that moves the function left/right a units
 Use the example for the next several slides

Slide 3  Transformations on
 Slide up 3 units from f(x)
 Slide left 2 units from f(x)

Slide 5  Reflections
 Any transformation that reflects a function over a line, typically the x or yaxes
 The shape of the function is unchanged.
 is a reflection over the yaxis
 is a reflection over the xaxis

Slide 6  Stretch/Shrinks by n
 is a vertical stretch by n if
 Same as a horizontal shrink by
 is a vertical shrink by n if
 Same as a horizontal stretch by
 These transformations do not preserve the shape of the function

Slide 7  Combination Transformations on
 Horizontal shift right 4 units and a reflection over the xaxis on f(x)
 Vertical stretch by 3 and a vertical shift up 5

Slide 9  Unconventional Transformations on
 These don’t necessarily follow an exact pattern for all function and take a little more analysis.
 Most would think this is a vertical stretch by 3
 Most would say a vert. stretch by 27, but
 Final transformation would be a vertical stretch by 27 and vertical shift down 26

Slide 10  Unconventional Transformations on
 These don’t necessarily follow an exact pattern for all function and take a little more analysis.
 need to treat as a piecewise, find the functions/domains

Slide 11  Unconventional Transformations on
 Absolute value will not change if f(x) is positive
 , so the only transformation will occur is a reflection over the xaxis where x<1

Slide 13  Contact
 ddestefa@k12.wv.us