Assuming standard notation of (x,y),
(5,2) translated 4 down (ie x-4) and 1 left (ie y-1)
5-4=1
2-1=1
(1,1) is the new coordinate
They are (a, b-4).
3.61 units
YES From your start point draw a line 5 units up, from this point draw a line 5 units across, from this point draw a line 5 units down, from this point draw a line 5 units back to the start. You have drawn a square with a total perimeter length of 20 units and a area of 25 square units.
It will move but won't change shape or size
A. 8.54 units B. 7.28 units C. 3.61 units D. 12.04 units
They are (a, b-4).
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).
A function that translates a point ((x, y)) to the right by (a) units and up by (b) units can be expressed as (f(x, y) = (x + a, y + b)). This means you simply add (a) to the x-coordinate and (b) to the y-coordinate of the original point. In function notation, if (f(x, y)) represents the original point, the translated point can be represented as (f'(x, y) = (x + a, y + b)).
To translate the point (10, -60) 40 units down, you subtract 40 from the y-coordinate, resulting in -100. To translate it 30 units left, you subtract 30 from the x-coordinate, resulting in -20. Therefore, the new coordinates after the translation are (-20, -100).
6
Compare it's position to the origin. The x coordinate is the number of units to the right of the origin. (If it is to the left of the origin the x coordinate is negative.) The y coordinate is the number of units above the origin. (If it is below, the y coordinate is negative.) The point is denoted (x,y) with the x coordinate in place of the x and the y coordinate in place of the y.
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.
28
(5,3)
That depends on the direction of the point in reference to the original coordinate. If the new point is 5 units to the right of (1,3), then the point is (6,3). If the point is 5 units left of (1,3), then the point is (-4,3). And so on.
The description "4 units down and 3 units right" refers to a movement in a coordinate plane. Starting from a given point, you would move vertically downward by 4 units and then horizontally to the right by 3 units. This would effectively change the coordinates of the point by decreasing the y-coordinate by 4 and increasing the x-coordinate by 3. The final position would be represented as (x + 3, y - 4) if starting from the point (x, y).
(2,1)