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How to translate the coordinates of a point?

Here's an example: In the coordinate plane, the point is translated to the point . Under the same translation, the points and are translated to and , respectively. What are the coordinates of and ? Any translation sends a point to a point . For the point in the problem, we have the following. So we have . Solving for and , we get and . So the translation is unit to the right and units up. See Figure 1. We can now find and . They come from the same translation: unit to the right and units up. The three points and their translations are shown in Figure 2.


What are the coordinates of a point two units to the right of the y-axis and three units above x-axis?

The coordinates of a point two units to the right of the y-axis and three units above the x-axis would be (2,3).


Which coordinates describe the point on the x-axis 3 units to the right of the origin?

(3,0)


what is the image point of (0,4) after a translation right 2 units and down 3 units?

(2,1)


What are the coordinates of the point (xy) after being translated m units left and n units up?

To translate the point (x, y) m units left and n units up, you subtract m from the x-coordinate and add n to the y-coordinate. The new coordinates after the translation will be (x - m, y + n).


What are the new coordinates of point p if pqr is translated 3 units to the right up and 2 units up?

The new coordinates are(3 + the old 'x', 2 + the old 'y')


What is the image point of (8,−2)(8,-2)(8,−2) after a translation right 5 units and up 2 units?

If you we're at the point (8,-2) and you went 5 units right and 2 units up, you'd be at (13,0).


What information is conveyed by a point plotted with coordinates 10 40 Keep in mind coordinates are written as x coordinate y coordinate?

Given only the coordinates of that point, one can infer that the point is located 10 units to the right of the y-axis and 40 units above the x-axis, on the familiar 2-dimensional Cartesian space.


What rule describes a translation that is 4 units to the right and 5 units down?

A translation that moves a point 4 units to the right and 5 units down can be described by the rule ( (x, y) \rightarrow (x + 4, y - 5) ). This means that for any point ((x, y)), you add 4 to the x-coordinate and subtract 5 from the y-coordinate to find the new position after the translation.


What are the coordinates if it is 4 units down and 3 units to the right?

In cartesian coordinates (x, y) = (3, -4)


What is the translation of a point z to a two units to the right of z?

(z,z+2) or (z+2,z)


What translation moves a triangle 4 units to the right and 8 units up?

the translation of 2 is the one that triangle moves by 4 units right and 8 units up