Find the coordinates of the image for each of the following points under the translation defined by (x, y) S (x 1 3, y 2 4):

a. (0, 0)
b. (23, 4)
c. (26, 29)
d. (7, 14)
e. (h, k)

To find the coordinates of the image for each point under the given translation, we need to apply the specified translation to each point.

In a translation, the x-coordinate is shifted by the same amount in the x-direction, and the y-coordinate is shifted by the same amount in the y-direction.

Given the translation defined by (x, y) S (x+13, y+24), we can apply this translation to each of the given points.

a. (0, 0) -> (0+13, 0+24) -> (13, 24)
b. (23, 4) -> (23+13, 4+24) -> (36, 28)
c. (26, 29) -> (26+13, 29+24) -> (39, 53)
d. (7, 14) -> (7+13, 14+24) -> (20, 38)
e. (h, k) -> (h+13, k+24)

For the point (h, k), the translation will be (h+13, k+24). So, the coordinates of the image for this point will be (h+13, k+24).