Question

Find the coordinates of the vertices of each figure after the given transformation.

translation: 8 units left and 6 units up V(4, −2)

Question 4 options:

V'(-4, 4)


V'(-4,1)


V'(1, −2)


V'(-2, −5)

Answer 1

To find the coordinates of the vertex \( V(4, -2) \) after the given transformation (8 units left and 6 units up), we will perform the following calculations:

1. **Translation 8 units left**:
- This means we will subtract 8 from the x-coordinate.
- New x-coordinate: \( 4 - 8 = -4 \)

2. **Translation 6 units up**:
- This means we will add 6 to the y-coordinate.
- New y-coordinate: \( -2 + 6 = 4 \)

Thus, the new coordinates after the transformation are \( V'(-4, 4) \).

So the correct answer is:

**V'(-4, 4)**