The point (2, −3) is reflected across the x -axis. In what quadrant is the reflected point located?
(1 point)
Quadrant
The point (2, -3) is reflected across the x-axis, so the x-coordinate stays the same and the sign of the y-coordinate changes. The original y-coordinate is negative, so when it is reflected the y-coordinate becomes positive. Therefore, the reflected point is located in the fourth quadrant.
To find the quadrant in which the reflected point is located, we need to consider the sign of the y-coordinate of the original point.
Given that the original point is (2, -3), the y-coordinate is negative. When a point is reflected across the x-axis, the y-coordinate changes sign. In this case, -3 becomes +3.
Since the y-coordinate of the reflected point is now positive, the reflected point is located in Quadrant 2.
To determine the quadrant in which a point is located after it is reflected across the x-axis, you need to consider the signs of the coordinates.
In the original point (2, -3), the x-coordinate is positive (+2) and the y-coordinate is negative (-3).
When a point is reflected across the x-axis, the x-coordinate remains the same while the sign of the y-coordinate is changed.
So, after reflecting (2, -3) across the x-axis, the y-coordinate changes from negative to positive, resulting in a new point with coordinates (2, 3).
The new point (2, 3) has a positive x-coordinate (+2) and a positive y-coordinate (+3). This means the reflected point is located in the first quadrant.
Therefore, the reflected point (2, 3) is located in the first quadrant.