Combining transformations of functions
Examples
Lessons
- Describe the Combination of Transformations
Compared to y=f(x), describe every step of transformations applied to:
y=−2f[3(x+4)]+5 - Write the Equation of a Transformed Function
Transform the function f(x)=x1 into the function g(x) by:- stretching horizontally by a factor of 2 about the y-axis
- stretching vertically by a factor of 53 about the x-axis
- vertical translation of 7 units up
- reflection in the y-axis
- horizontal translation of 4 units to the left
- reflection in the x-axis
Write the function for g(x).
- Use "Coordinate Mapping Formula" to Graph a Transformed Function
Given the graph of y=f(x) as shown,
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Basic Concepts
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