These lessons with videos and examples help Pre-Calculus students learn about horizontal and vertical graph stretches and compressions.
The following table gives a summary of the Transformation Rules for Graphs. Scroll down the page for more examples, solutions and explanations.
This video explains to graph graph horizontal and vertical translation in the form af(b(x-c))+d.
It looks at how c and d affect the graph of f(x).
This video explains to graph graph horizontal and vertical stretches and compressions in the
It looks at how a and b affect the graph of f(x).
The general formula is given as well as a few concrete examples.
This video discusses the horizontal stretching and compressing of graphs.
This video talks about reflections around the X axis and Y axis.(Part 3)
In this video we discuss the effects on the parent function when:
There are different types of math transformation, one of which is the type y = f(bx). This type of math transformation is a horizontal compression when b is greater than one. We can graph this math transformation by using tables to transform the original elementary function. Other important transformations include vertical shifts, horizontal shifts, and reflections.
This video reviews function transformation including stretches, compressions, shifts left, shifts right, and reflections across the x and y axes.
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