1. Algebraic Representations of Transformations

2. Warm Up

5. A rectangle has vertices at (0, -2), (0, 3), (3, -2), and (3, 3)
A rectangle has vertices at (0, -2), (0, 3), (3, -2), and (3, 3). What are the coordinates of the vertices of the image after the translation (x, y) → (x - 6, y - 3)? Describe the translation.

8. Triangle ABC has vertices A(-2, 6), B(0, 5), and C(3, -1)
Triangle ABC has vertices A(-2, 6), B(0, 5), and C(3, -1). Find the vertices of triangle A′B′C′ after a reflection across the x-axis.

11. How would you find the vertices of an image if a figure were rotated 270° clockwise? Explain.

12. A triangle has vertices at J(-2, -4), K(1, 5), and L(2, 2)
A triangle has vertices at J(-2, -4), K(1, 5), and L(2, 2). What are the coordinates of the vertices of the image after the triangle is rotated 90° counterclockwise?