A Function F Is Given, and the Indicated Transformations Are $f ( x ) = | x |$

question 22

Short Answer

A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph. $f ( x ) = | x |$ ; shift to the left $1 / 2$ unit, shrink vertically by a factor of 0.2, and shift downward 2 units.

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Definitions:

Surveys

A research method for collecting data from a predefined group of respondents to gain information and insights on various topics of interest through questions.

Experiments

Scientifically controlled tests or investigations carried out to determine the effect of varying one or more variables on a specific outcome.

Causality

The relationship between cause and effect, where one event (the cause) is understood to directly result in another event (the effect).

Within-subject Design

A research design in which the same subjects are used in each condition of the experiment, allowing the researcher to compare the performance of the same individuals under different conditions.