Move points with precise coordinate translation tools. Track before and after positions and displacement instantly. Great for homework, graphing, practice, and quick coordinate checks.
Enter the original point and translation values. The calculator supports repeated translations and graph-ready output.
The graph marks the original point, translated point, and all intermediate locations when repeated translation is used.
| Label | Original Point | Δx | Δy | Repeats | Net Translation | Translated Point | Distance Moved |
|---|---|---|---|---|---|---|---|
| P | (2, 3) | 4 | -2 | 1 | ⟨4, -2⟩ | (6, 1) | 4.4721 |
| Q | (-1, 5) | 2 | 3 | 2 | ⟨4, 6⟩ | (3, 11) | 7.2111 |
| R | (0, -4) | -3 | 1.5 | 3 | ⟨-9, 4.5⟩ | (-9, 0.5) | 10.0623 |
A translation shifts every coordinate by a fixed horizontal and vertical amount. When the same shift is repeated several times, multiply each translation component by the repeat count first.
Where:
The calculator also reports midpoint, slope, distance from the origin before and after translation, and the quadrant of both points.
Translating a point means shifting its position by a fixed horizontal amount and a fixed vertical amount. The point moves without rotating, reflecting, or resizing.
No. Translation preserves size, angles, and orientation. Every point moves by the same vector, so the figure keeps its exact shape and dimensions.
Repeat count applies the same translation several times. This is helpful for pattern tracing, animation steps, lattice movement, and classroom demonstrations of repeated vector addition.
The translation vector describes how far the point moves horizontally and vertically. In this calculator, the net vector is shown as ⟨nΔx, nΔy⟩ after repeats are applied.
A point may cross an axis during movement. When that happens, its sign pattern changes, and the ending position may land in a different quadrant or on an axis.
If Δx is zero, the point moves only vertically. If Δy is zero, it moves only horizontally. If both are zero, the point stays exactly where it started.
No. The slope is undefined when the net horizontal movement equals zero, because dividing by zero is not allowed. That means the motion path is vertical.
Use CSV when you want spreadsheet-ready values. Use PDF when you want a clean report for homework, documentation, review, or sharing with others.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.