marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the $y$-axis. which mapping notation is correct?

$(x,y) \
ightarrow (-x,y)$
$(x,y) \
ightarrow (x,-y)$
$(x,y) \
ightarrow (-x,-y)$
$(x,y) \
ightarrow (y,x)$

Question

marissa wants to write an abbreviated set of directions for finding coordinates of a figure reflected across the $y$-axis. which mapping notation is correct?

$(x,y) \
ightarrow (-x,y)$
$(x,y) \
ightarrow (x,-y)$
$(x,y) \
ightarrow (-x,-y)$
$(x,y) \
ightarrow (y,x)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Coordinate Transformations", "Reflection Across Axes" ], "new_concepts": [], "current_concepts": [ "Coordinate Transformations", "Reflection Across Axes" ] } ## Identify the transformation rule $$ (x, y) ightarrow (-x, y) $$ ## Verify the reflection across the y-axis $$ \begin{aligned} &\text{Reflection across } y\text{-axis changes the sign of the } x\text{-coordinate.}\ &\text{The } y\text{-coordinate remains unchanged.}\ &(x, y) ightarrow (-x, y) \end{aligned} $$

(A) $(x,y) ightarrow (-x,y)$

(B) $(x,y) ightarrow (x,-y)$

(C) $(x,y) ightarrow (-x,-y)$

(D) $(x,y) ightarrow (y,x)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Reflection Across Axes" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the transformation rule

Verify the reflection across the y-axis

Answer: