1. **State the problem:**
We have triangle QRS with vertices Q(-1,9), R(4,4), and S(-3,1).
The transformation rule is given by $(-x, y + 2)$.
We need to find the coordinates of the transformed triangle Q'R'S'.
2. **Understand the transformation rule:**
The rule $(-x, y + 2)$ means:
- The x-coordinate of each vertex is negated.
- The y-coordinate of each vertex is increased by 2.
3. **Apply the transformation to each vertex:**
- For Q(-1,9):
$$Q' = (-(-1), 9 + 2) = (1, 11)$$
- For R(4,4):
$$R' = (-(4), 4 + 2) = (-4, 6)$$
- For S(-3,1):
$$S' = (-(-3), 1 + 2) = (3, 3)$$
4. **Final answer:**
The vertices of triangle Q'R'S' are:
$$Q'(1, 11), R'(-4, 6), S'(3, 3)$$
Triangle Transformation 128Be9
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.