When graphing a transformation, which of the following would be considered a reflection?

Study for the TExES Mathematics 4-8 Test. Practice with flashcards and multiple choice questions. Assess your knowledge to prepare effectively and excel in your exam!

When graphing a transformation, a reflection is defined as creating a mirror image of an object over a specific axis. This process involves flipping the object across the line of reflection, resulting in a new position that is symmetrically opposite to the original position relative to that axis.

For instance, if you have a geometric shape and you reflect it over the x-axis, every point on the shape moves vertically in such a way that it retains its distance from the x-axis, effectively creating a mirrored version of the original shape.

In contrast, shifting an object horizontally involves moving it left or right without altering its orientation or shape, turning around a center point represents a rotation rather than a reflection, and zooming in on an object indicates a scaling transformation which enlarges or diminishes the object rather than flipping it. Therefore, mirroring an object over an axis accurately captures the definition of a reflection in transformations.

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