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Function Transformations (Definition) - Single Transformation Definition to Graph

Level 1

This math topic explores function transformations, focusing on applying single transformations to functions and discerning the resultant graph. The skills practiced include understanding and visualizing various transformations such as shifting (up, down, left, right), stretching, and reflecting across axes. Each problem presents a specific transformation of a function, either algebraic or graphically, and asks to identify the corresponding transformed function from a set of possible graphs. This foundational understanding aids in mastering transformations as part of introductory studies on functions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Function Transformations (Definition) - Single Transformation Definition to Graph Worksheet

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Function Transformations (Definition) - Single Transformation Definit...
1
A LaTex expression showing f(x) = x to the power of 2 \\\text{Shift left: }4\\
Which graph shows this transformation of f(x) into g(x)?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
2
A LaTex expression showing f(x) = x\\\text{Vertical stretch: }4\\
Which graph shows this transformation of f(x) into g(x)?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
3
A LaTex expression showing f(x) = x to the power of 2 \\\text{Vertical stretch: }3\\
Which graph shows this transformation of f(x) into g(x)?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
4
A LaTex expression showing f(x) = x\\\text{Shift up: }4\\
Which graph shows this transformation of f(x) into g(x)?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
5
A LaTex expression showing f(x) = x\\\text{Reflect in X-Axis}\\
Which graph shows this transformation of f(x) into g(x)?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
6
A LaTex expression showing f(x) = x to the power of 3 \\\text{Shift down: }4\\
Which graph shows this transformation of f(x) into g(x)?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
7
A LaTex expression showing f(x) = x to the power of 2 \\\text{Shift down: }2\\
Which graph shows this transformation of f(x) into g(x)?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
8
A LaTex expression showing f(x) = x to the power of 2 \\\text{Shift up: }3\\
Which graph shows this transformation of f(x) into g(x)?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem