Graphing the Transformation y = f(x - h) - Concept

Concept Concept (1)

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.

Sample Sample Problems (3)

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Graphing the Transformation y = f(x - h) - Problem 1
Problem 1
How to apply the transformation y = a*f(x-h) + k to an absolute value function.
Graphing the Transformation y = f(x - h) - Problem 2
Problem 2
How to apply the transformation y = a*f(x-h) + k to a cubic function.
Graphing the Transformation y = f(x - h) - Problem 3
Problem 3
How to apply the transformation y = a*f(x-h) + k to a rational function.