Answer:
Therefore, the correct option is;
T(-2, 4) ry-axis
Explanation:
Given that the points of the triangle MNO are N(3, -2), O(1, -3), and M(5, -4), while M''(-3, 0), N''(-1, 2), and O''(1, 1), we have;
N(3, -2) → N''(-1, 2)
For reflection about the y-axis, the y values are the same and the x values change sign
If we translate by (-2, 4) we have;
N(3, -2) → N'(3 - 2, -2 + 4) = N'(1, 2)
If we now reflect about the y-axis, we have;
N'(1, 2), reflection → N''(-1, 2) which is correct
For O(1, -3), O''(1, 1), we have;
O(1, -3) → O'(1 - 2, -3 + 4) = O'(-1, 1)
Reflecting about the y-axis gives;
O'(-1, 1) → O''(1, 1) correct
For M(5, -4) M''(-3, 0)
M(5, -4) → M'(5 - 2, -4 + 4) = M'(3, 0)
M'(3, 0) → M''(-3, 0)
Therefore, the correct option is T(-2, 4) ry-axis.