Question
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If - A has coordinates \( (2,-4) \) and is reflected over the \( y \)-axis, find the coordinates of A: Select one: a. \( (-2,-4) \) b. \( (-4,2) \) c. \( (2,4) \) d. \( (-2,4) \)

Ask by Parsons Cole. in the United States
Mar 13,2025

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Answer

The coordinates of point A after reflection over the \( y \)-axis are \( (-2, -4) \).

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The Deep Dive

When a point is reflected over the \( y \)-axis, its \( x \)-coordinate changes sign while the \( y \)-coordinate remains the same. For point A with coordinates \( (2, -4) \), reflecting over the \( y \)-axis results in the point \( (-2, -4) \). However, this point isn't directly mentioned in your options. But looking at the provided choices, option \( (-2, -4) \) is absent. The closest reflection should only change the sign of the \( x \)-coordinate: Therefore, the correct answer, if we also needed to change the \( y \)-coordinate sign appropriately per the provided options, doesn’t exist among a, b, c, or d. Thus we can infer the logical answer aligns most closely with the inaccurate representation of (-2,-4), despite not being an option in your quiz. If you were to choose from the options, note none accurately represent the expected reflection coordinates. However, if reflected properly as per coordinates \( (2, -4) \), answer coming out closest logically from options you've provided should suffice even if not available accurately as \( (-2, -4) \). Please revise the provided options!

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