If a shape is translated 3 units left and 2 units up, what is the translation vector?

If a shape is translated 3 units left and 2 units up, what is the translation vector?

• A. (3, -2)
• B. (-3, 2)
• C. (2, 3)
• D. (-2, -3)

Answer: (B)

When a shape undergoes a translation, the translation vector describes the movement in terms of the changes in the x-coordinate and the y-coordinate. The translation vector consists of two components: the horizontal movement and the vertical movement. In this case, the shape is translated 3 units to the left. This movement decreases the x-coordinate by 3, which is expressed as -3 in the vector. For the vertical movement, the shape is translated 2 units upward, which increases the y-coordinate by 2. This is expressed as +2 in the vector. Therefore, the translation vector that represents these changes is written as (-3, 2). This correctly encapsulates the leftward and upward movement of the shape. Hence, the correct translation vector is indeed represented as (-3, 2).

When a shape undergoes a translation, the translation vector describes the movement in terms of the changes in the x-coordinate and the y-coordinate. The translation vector consists of two components: the horizontal movement and the vertical movement.

In this case, the shape is translated 3 units to the left. This movement decreases the x-coordinate by 3, which is expressed as -3 in the vector. For the vertical movement, the shape is translated 2 units upward, which increases the y-coordinate by 2. This is expressed as +2 in the vector.

Therefore, the translation vector that represents these changes is written as (-3, 2). This correctly encapsulates the leftward and upward movement of the shape. Hence, the correct translation vector is indeed represented as (-3, 2).