If the image of the point (-1,7) under a translation be (0,11) then the coordinates of the image of the point (1,-4) under the same translation is (2,0).
Given that the image of the point (-1, 7) under a translation is (0, 11).
We are required to find the coordinates of the image of the point (1, -4) under the same translation.
Translation basically means the displacement of a figure or a shape from one place to another. In translation figure can move upward, downward, right, left or anywhere in the coordinate system.
The point (-1,7) after translation changes into (0,11).
X coordinate will change by adding 1 to it and Y coordinate will change by adding 4. Now the point (1,-4) will change to (2,0) after adding 1 to 1 and 4 to -4.
Hence if the image of the point (-1,7) under a translation be (0,11) then the coordinates of the image of the point (1,-4) under the same translation is (2,0).
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means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);
you can check where the origin is placed. Since
, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
you can check where the origin is placed. Since
, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.
