The image of (-4, -2) after a reflection over the line y = -x is (2, -4).
<h3>What is a transformation?</h3>
In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a final (new) location. This ultimately implies that, when an object is transformed, all of its points would be transformed as well.
<h3>The types of transformation.</h3>
Generally, there are different types of transformation and these include the following:
- Reflection
- Rotation
- Translation
- Dilation
<h3>What is a reflection?</h3>
A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
In Geometry, a reflection over the y-axis is given by this rule (x, y) → (-x, y). Thus, line y = -x would become:
(-4, 2) → (2, -4).
Read more on transformation here: brainly.com/question/1548871
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