In the graph below, point D is reflected across the y-axis. What are the coordinates of its image?
A coordinate grid shows both the x- and y-axes from -4 to 4 and point D that is 3 units right and 1 unit down from the origin.
(1 point)
Responses
(3, –1)
(3, –1)
(3, 1)
(3, 1)
(–3, –1)
(–3, –1)
(–3, 1)
The correct answer is (–3, –1).
To reflect a point across the y-axis, you change the sign of its x-coordinate and keep the y-coordinate the same.
In this case, the original coordinates of point D are (3, -1).
When we reflect it across the y-axis, the sign of the x-coordinate changes, resulting in (-3, -1).
So, the coordinates of the image of point D after reflecting across the y-axis are (-3, -1).
Therefore, the correct answer is (–3, –1).