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6. when reflecting across the x - axis,... p(x, y)--->p(-x, y) p(x, y)-…

Question

  1. when reflecting across the x - axis,...

p(x, y)--->p(-x, y)
p(x, y)--->p(x, -y)
p(x, y)--->p(-x, -y)
p(x, y)--->p(x, y)

Explanation:

Brief Explanations

When reflecting a point \( P(x,y) \) across the \( x \)-axis, the \( x \)-coordinate remains the same, while the \( y \)-coordinate changes its sign. This is based on the geometric property of reflection over the \( x \)-axis.

Answer:

B. \( P(x,y)
ightarrow P'(x, -y) \)