Final answer:
The function y = (x - 3)^2 translates to a shift to the right by 3 units on the coordinate system.
The correct answer is (a)
Step-by-step explanation:
The translation of the function y = (x - 3)^2 is best described as a shift to the right by 3 units in the coordinate system. This is because the equation is in the form of y = (x - h)^2, where h represents the horizontal shift from the origin. When h is positive, the parabola shifts horizontally to the right side of the coordinate system.
The function y = (x - 3)^2 has a translation of shifting right 3 units. This is because the function y = (x - 3)^2 represents a parabola with its vertex at (3, 0), which means the parabola has been shifted 3 units to the right compared to the parent function y = x^2.
Therefore, the correct answer is (a) Shift right 3.