Question

which rule describes this transformation?
a. $(x,y) \to (-x,-y)$
b. $(x,y) \to (-x,y)$
c. $(x,y) \to (x,y-2)$
d. $(x,y) \to (x,-y)$

Explanation:

Option A represents a 180-degree rotation about the origin, flipping both x and y signs. Option B is a reflection over the y-axis, which negates only the x-coordinate while keeping y the same. Option C is a vertical translation down 2 units, subtracting 2 from the y-value. Option D is a reflection over the x-axis, negating only the y-coordinate. The selected option B corresponds to a reflection across the y-axis.

Answer:

B. $(x,y) \to (-x,y)$