Translating a point 4 units to the right means adding 4 to the x-coordinate, and translating it 5 units down means subtracting 5 from the y-coordinate. So, if the original point is (x, y), the new point after the translation would be (x+4, y-5). This transformation is a type of rigid transformation known as a translation, which moves the entire figure without changing its size or shape.
Not sure
The new coordinates are(3 + the old 'x', 2 + the old 'y')
For a start, you would need an initial equation. A horizontal translation of ANY equation can be achieved by replacing every ocurrence of "x" with "x - a", where "a" is the amount you want to move the graph to the right. For example, replacing every ocurrence of "x" by "x - 10" will move your graph 10 units to the right.
the number 2 is two units to the right of 0 on the number line. the number -2 is two units to the left of 0
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).
The coordinates are (10, 5).
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.
A translation of 4 units to the right followed by a dilation of a factor of 2
(z,z+2) or (z+2,z)
the translation of 2 is the one that triangle moves by 4 units right and 8 units up
Translating a point 4 units to the right means adding 4 to the x-coordinate, and translating it 5 units down means subtracting 5 from the y-coordinate. So, if the original point is (x, y), the new point after the translation would be (x+4, y-5). This transformation is a type of rigid transformation known as a translation, which moves the entire figure without changing its size or shape.
They are (a, b-4).
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).
(x,y) > (x + 8, y + 2)
For this translation, you need to replace every occurence of "x" with "x-3", and every occurence of "y" with "y+5".
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.