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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 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 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


How do you find coordinates of each given point after it is moved pie divided by four units to the right?

The point (x, y) is moved to (x+pi/4, y).


What are the coordinates of the point that is 4 units left and 2 units down from the origin?

(-4,-2)