Question

Origin shifts to (4,3) so what will be the new coordinate of point (3, 3) ?

Answer 1

Correct Answer: 1

The problem involves determining the new coordinates of a point when the origin is shifted. Originally, in the Cartesian coordinate system, the origin is at (0,0). If the origin shifts to (4,3), we need to adjust the coordinates of any point relative to this new origin.

The original point given is (3,3). To find its new coordinates after the origin shifts, we follow these logical steps: 

1. Identify the shift required to move the origin from (0,0) to (4,3). This results in a shift of 4 units to the right on the x-axis and 3 units up on the y-axis.
2. Apply this same shift to the point (3,3). To adjust the point's coordinates, subtract the shift from the original coordinates:

New x-coordinate: 3 − 4 = -1

New y-coordinate: 3 − 3 = 0

Thus, the new coordinate of the point (3,3) after the origin shifts to (4,3) is (-1,0).

Next, according to the specified range of 1,1, it might be interpreted that both components of the solution should fall within a certain conceptual bound. However, this instruction seems misplaced as the calculated coordinates (-1,0) are appropriate in the context of coordinate transformations, which commonly result in negative values or zero when the origin is shifted.

Therefore, the final coordinates (-1,0) are mathematically accurate given the transformation described.