A transformation T : (x, y) (x + 3, y + 1).

The image of B(4, 1) is

To find the image of point B(4, 1) under the transformation T: (x, y) ↦ (x + 3, y + 1), we can apply the transformation to the coordinates of point B.

Given that B(4, 1), we can substitute these values into the transformation equation:
T: (x, y) ↦ (x + 3, y + 1)

Substituting x = 4 and y = 1:
T: (4, 1) ↦ (4 + 3, 1 + 1)

Evaluating the expression on the right side:
T: (4, 1) ↦ (7, 2)

Therefore, the image of point B(4, 1) under the transformation T: (x, y) ↦ (x + 3, y + 1) is point (7, 2).

To find the image of a point under a transformation, we can apply the transformation function to the coordinates of the point.

Given that the transformation T is defined as T : (x, y) → (x + 3, y + 1), and we want to find the image of B(4, 1).

Applying the transformation T to the coordinates of B(4, 1), we have:

T(4, 1) = (4 + 3, 1 + 1)
= (7, 2)

Therefore, the image of B(4, 1) under the transformation T is (7, 2).

Apply the transformation T:

B=(4,1)
B'=(4+3,1+1)=?