Question

The point (4,1)
is reflected in the y-axis. What are the coordinates of its image?(1 point)
Responses

(1,4)
left parenthesis 1 comma 4 right parenthesis

(−1,−4)
left parenthesis negative 1 comma negative 4 right parenthesis

(−4,1)
left parenthesis negative 4 comma 1 right parenthesis

(4,−1)

Answer 1

When a point is reflected in the y-axis, the x-coordinate of the point changes sign, while the y-coordinate remains the same.

For the point (4, 1):
- The x-coordinate changes from 4 to -4.
- The y-coordinate stays the same at 1.

Therefore, the coordinates of the image after the reflection in the y-axis are (-4, 1).

So the correct response is:
(−4,1)