Question 1: Reflect the point (3, -4) across the y-axis. Write the new coordinates.

Answer: -3, -4

Question 2: Plot and reflect the point (–2, 5) across the y-axis. What are the coordinates of the reflected point?

Answer: 2, 5

Question 3: A point P has coordinates (–6, 2). After reflection across the y-axis, what are the new coordinates?

Answer: 6, 2

Question 4: Construct the point (4, –3) and reflect it across the y-axis on the grid. Record the coordinates of the reflected point.

Answer: -4, -3

Question 5: The point (x, y) is reflected across the y-axis, resulting in (-x, y). If the reflected point is (–7, 2), what was the original point?

Answer: 7, 2

Question 6: A point moves from (–3, 6) to its reflection across the y-axis. Determine the coordinates after reflection and explain the change.

Answer: 3, 6

Question 7: Plot the point (–5, –2). Reflect it across the y-axis and then shift the reflected point 3 units right. What are the final coordinates?

Answer: 5, -2

Question 8: A triangle has vertices at (2, 3), (4, 5), and (6, 2). Reflect all vertices across the y-axis. Write the new coordinates of the vertices.

Answer: -2, 3; -4, 5; -6, 2

Question 9: A point (x, y) is reflected across the y-axis to become (-x, y). If the original point is (–8, –1), verify the reflected point and identify any mistake in a student's work that shows the point as (8, –1).

Answer: The reflected point should be (8, –1). The mistake is that the student did not change the sign of the x-coordinate.

Question 10: Challenge: A point (x, y) is reflected over the y-axis to (-x, y). Find the original point if the reflected point is (-9, 4).

Answer: 9, 4