Horizontal and Vertical Graph Transformations

Videos, worksheets, games and acivities to help PreCalculus students learn about horizontal and vertical graph transformations.



Horizontal and Vertical Graph Transformations -
9 full examples as well as the basic outline of doing horizontal and vertical translations of graphs are shown.



Graphing the Transformation y = f(x – h) – Horizontal Transformation :
There are different types of graphing transformation, one of which is subtraction a constant from the independent variable. This type of graphing transformation can be written as y = f(x – h). For this graphing transformation, we shift the graph horizontally by h units. We should also know how to recognize vertical shifts and scaling, reflections, and horizontal compression.

How to graph y = f(x – h) when f(x) = sqrt(x), and what kind of transformation to expect.



Graphing the Transformation y = a f(x) + k – Vertical and Stretch Transformations :
There are many different transformations, and graphing transformations is different depending on what type it is. One of the most basic types of transformations is y = a • f(x) + b. Graphing transformations of this type involves creating a table of the original and the transformed function and graphing the second from the first. We should also recognize horizontal shifts, reflections, and horizontal compression.

How to graph the transformation y = a f(x) + k when f(x) = abs(x).




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