alongside. Write down the coordinate plane the quadrant of the image \( A(-3 ; 1) \) if point \( A \) is translated as follows. a 1 unit upwards b 4 units to the right c 3 units downwards

To determine the new coordinates of point \( A(-3, 1) \) after each translation, we will apply the specified movements step by step. ### Original Point: - \( A(-3, 1) \) ### a) 1 unit upwards: To move the point 1 unit upwards, we add 1 to the y-coordinate. \[ A' = (-3, 1 + 1) = (-3, 2) \] **Quadrant of \( A'(-3, 2) \)**: This point is in the **2nd quadrant** (where x is negative and y is positive). ### b) 4 units to the right: To move the point 4 units to the right, we add 4 to the x-coordinate. \[ A'' = (-3 + 4, 2) = (1, 2) \] **Quadrant of \( A''(1, 2) \)**: This point is in the **1st quadrant** (where both x and y are positive). ### c) 3 units downwards: To move the point 3 units downwards, we subtract 3 from the y-coordinate. \[ A''' = (1, 2 - 3) = (1, -1) \] **Quadrant of \( A'''(1, -1) \)**: This point is in the **4th quadrant** (where x is positive and y is negative). ### Summary of Quadrants: - After moving 1 unit upwards: **2nd quadrant** - After moving 4 units to the right: **1st quadrant** - After moving 3 units downwards: **4th quadrant**