When a point is reflected across a line, a mirror image of that point is formed. In this problem, we are asked to find the mirror image of the point (3,2) with respect to the x-axis and y-axis.



When reflecting a point across the x-axis, the x-coordinate remains the same, but the y-coordinate changes sign. So, to find the mirror image of (3,2) with respect to the x-axis, we need to keep the x-coordinate the same and change the sign of the y-coordinate.

Therefore, the mirror image of (3,2) with respect to the x-axis is (-3,-2).



When reflecting a point across the y-axis, the y-coordinate remains the same, but the x-coordinate changes sign. So, to find the mirror image of (3,2) with respect to the y-axis, we need to keep the y-coordinate the same and change the sign of the x-coordinate.

Therefore, the mirror image of (3,2) with respect to the y-axis is (-3,2).



In conclusion, we can find the mirror image of a point with respect to the x-axis and y-axis by following the rules for reflection. When reflecting across the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate. When reflecting across the y-axis, we keep the y-coordinate the same and change the sign of the x-coordinate.

Along the y axis (-3,2)Along the x axis (3,-2)