Bot GPT 4-o mini To reflect the point \( a(6, 0) \) across the x-axis, we change the sign of the y-coordinate. The reflection of \( a(6, 0) \) across the x-axis is:
\[ a'(6, 0) \rightarrow (6, -0) \rightarrow (6, 0) \]
Since the y-coordinate remains 0, the point does not change.
Now, to reflect this result \( a'(6, 0) \) again across the y-axis, we change the sign of the x-coordinate. The reflection of \( a'(6, 0) \) across the y-axis is:
\[ a''(6, 0) \rightarrow (-6, 0) \]
So, after reflecting the point \( a(6, 0) \) first across the x-axis and then across the y-axis, the final result is:
\[ \text{Final point: } (-6, 0) \]
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