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1. the point (x, y) is the top of a polygon. which point would it map t…

Question

  1. the point (x, y) is the top of a polygon. which point would it map to if the polygon were reflected over the y-axis and then translated 6 units down?

○ (-x, -y+6)
○ (-x, y-6)
○ (x+6, -y)
○ (x, -y-6)

Explanation:

Step1: Reflect over y-axis

When reflecting a point $(x,y)$ over the y-axis, the x-coordinate is negated, resulting in $(-x, y)$.

Step2: Translate 6 units down

Subtract 6 from the y-coordinate of the reflected point: $(-x, y-6)$.

Answer:

$(-x, y-6)$ (the third option)