Use the image to answer the question. The point (−4, −1) is reflected across the y-axis. What are the coordinates of the reflected point? ($$, $$)
The point (-4, -1) is reflected across the y-axis, which means that the x-coordinate remains unchanged and the y-coordinate is negated. Therefore, the coordinates of the reflected point are (4, -1).
To find the coordinates of the reflected point, we need to flip the x-coordinate of the given point across the y-axis.
The original point is (-4, -1).
When we reflect this point across the y-axis, the x-coordinate will change its sign. So, the reflected point will have the x-coordinate as 4 (the absolute value of -4) and the same y-coordinate of -1.
Therefore, the coordinates of the reflected point are (4, -1).
To answer this question using the given image, we need to understand how reflection across the y-axis affects the coordinates of a point.
When a point is reflected across the y-axis, the x-coordinate (horizontal distance from the y-axis) changes its sign, while the y-coordinate (vertical distance from the x-axis) remains the same.
In the given image, the point (-4, -1) is reflected across the y-axis.
To find the reflected coordinates, we change the sign of the x-coordinate (-4) to get its reflected x-coordinate. The y-coordinate (-1) remains the same.
Therefore, the coordinates of the reflected point are (4, -1).