Use the image to answer the question. The point (2, −3) is reflected across the x-axis. In what quadrant is the reflected point located? Quadrant $$ what is the ansewer
The point (2, −3) is initially located in Quadrant IV.
When a point is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. So, the reflected point will have coordinates (2, 3).
Therefore, the reflected point is located in Quadrant I.
To determine the new quadrant after reflecting a point across the x-axis, we need to consider the signs of the coordinates.
In this case, the original point is (2, -3). When reflecting a point across the x-axis, the x-coordinate remains the same, but the y-coordinate changes sign. So, the reflected point would have coordinates (2, 3).
Since the y-coordinate is now positive, the reflected point (2, 3) is located in Quadrant I.
To determine the quadrant in which the reflected point is located, we need to understand the reflection across the x-axis. When a point is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same.
In this case, the original point is (2, -3). If we reflect this point across the x-axis, the x-coordinate will stay the same (2) and the y-coordinate will change sign from -3 to +3. Thus, the reflected point becomes (2, 3).
Now, we can determine the quadrant where the reflected point (2, 3) is located. In the coordinate plane, the quadrants are numbered counterclockwise starting from the top right as Quadrant I, then moving to Quadrant II, Quadrant III, and lastly Quadrant IV.
Since the x-coordinate (2) is positive and the y-coordinate (3) is also positive, the reflected point (2, 3) is located in Quadrant I.