To find the reflected point of (-11, 2) across the x and y axes, we can apply the transformations for reflection across each axis:
-
Reflection across the x-axis: The y-coordinate changes sign. Thus, (-11, 2) reflected across the x-axis becomes (-11, -2).
-
Reflection across the y-axis: The x-coordinate changes sign. Therefore, (-11, -2) reflected across the y-axis becomes (11, -2).
Now, the point (11, -2) has a positive x-coordinate and a negative y-coordinate. This places it in the fourth quadrant, where x is positive and y is negative.
So, the reflected point (11, -2) is located in the fourth quadrant.