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Back to 3.5 Transformation of Functions

3.5 Exercise 114

Avg difficulty 2.5

Write a formula for the function g g that results when the graph of a given toolkit function is transformed as described.

The graph of f(x)= 1 x 2 f \left(x\right) = \frac{1}{x^{2}} is vertically compressed by a factor of 1 3 , \frac{1}{3} , then shifted to the left 2 units and down 3 units.

OpenStax Algebra and Trigonometry 2e, 3.5 Transformation of Functions, exercise 114

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.