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Function Transformations (Definition) - Single Transformation Function to Graph

Level 1

This math topic focuses on the concept of function transformations. It helps students practice identifying how the graph of a function changes based on algebraic transformations applied to its equation. Specifically, it covers single transformations involving changes to the basic function via translations, reflections, and vertical shifts. Students are provided with the original function and its transformed version, and they are required to choose the corresponding graph that represents this transformation from given options. Each question is a practical instance of applying theoretical function transformation knowledge to graphical representations.

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

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

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Function Transformations (Definition) - Single Transformation Functio...
1
A LaTex expression showing f(x) = x to the power of 2 \\g(x) = f(x- 4)
Which graph shows the 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 to the power of 2 \\g(x) = f(x)+ 4
Which graph shows the 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 3 \\g(x) = - f(x)
Which graph shows the 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 to the power of 3 \\g(x) = f(x)+ 3
Which graph shows the 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 to the power of 2 \\g(x) = - f(x)
Which graph shows the 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 \\g(x) = f(x+ 3)
Which graph shows the 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\\g(x) = f(x)- 3
Which graph shows the 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\\g(x) = f(x)+ 2
Which graph shows the 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