Final answer:
The algebraic expression that represents the new y-coordinate after a translation of four yards south, given any initial y-coordinate, y, is y - 4.
Step-by-step explanation:
The algebraic expression that represents the new y-coordinate after a translation of four yards south, given any initial y-coordinate, y, is y - 4.
In this case, the translation is in the negative direction on the y-axis, so we subtract 4 from the initial y-coordinate to move it four yards south.