Question

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

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

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

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

(1,4)

Answer 1

When a point \((x, y)\) is reflected in the y-axis, its x-coordinate 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 remains \(1\).

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

So the correct response is:

\((-4, 1)\)