The point \(P(6,\,-3)\) is reflected in the y-axis. What are the coordinates of its image?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \((-6,\,-3)\)
In a reflection in the y-axis the point moves straight across (left or right) to the same distance on the other side of the axis: the y-coordinate stays the same and the x-coordinate changes sign.
P is 6 units to the right of the y-axis
Its image is 6 units to the left of the y-axis, on the same horizontal line \(y=-3\)
Image \(P'=(-6,\,-3)\)
