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?
a.) (-x, -y + 6)

b.) (-x, y - 6)

c.) (x, -y - 6)

d.) (-x + 6, -y)

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

The point (x, y) is the top of a polygon the polygon was reflected over the y-axis and then translated 6 units down

The rule for reflection over the y-axis:

(x, y) → (-x, y)

Translated 6 units down.

(-x, y) → (-x, y - 6)

Thus, the coordinate of (x, y) after applying transformation is (-x, y - 6) option (b) is correct.

Learn more about the geometric transformation here:

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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? a.) (-x, -y + 6) b.) (-x, y - 6) c.) (x, -y - 6) d.) (-x + 6, -y)

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What is geometric transformation?

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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?
a.) (-x, -y + 6)

b.) (-x, y - 6)

c.) (x, -y - 6)

d.) (-x + 6, -y)