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)).
A reflection across the origin transforms a point ((x, y)) to ((-x, -y)). After this reflection, a translation of 3 units to the right and 4 units up shifts the point to ((-x + 3, -y + 4)). Therefore, the combined rule for the transformation is given by the mapping ((x, y) \to (-x + 3, -y + 4)).
Which transformations could have been used to move the platter to the new location? A. a translation 9 units left and a translation 3 units down B. a reflection across MN and a translation 4 units left C. a reflection across MN and a translation 8 units left D. a rotation 180° clockwise about N and a translation 4 units left
Normally it would be a point which is 2.5 units to the right of the origin and 3.5 units up.
To graph the point (2, 5) - if that's what you mean - you need to start from the origin, and go 2 units to the right, and 5 up. You can also go 5 units up first, and THEN 2 units to the right. You can even go part of the way to the right (for instance, 1 unit), then some units up, and then later go the remaining unit to the right. But in this case, you need to keep track of how many units you already walked in each direction.
The function of X is verticity (up and down). The function of Y is horizontal (left and right).
the translation of 2 is the one that triangle moves by 4 units right and 8 units up
The coordinates are (10, 5).
(x,y) > (x + 8, y + 2)
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).
translation
A reflection across the origin transforms a point ((x, y)) to ((-x, -y)). After this reflection, a translation of 3 units to the right and 4 units up shifts the point to ((-x + 3, -y + 4)). Therefore, the combined rule for the transformation is given by the mapping ((x, y) \to (-x + 3, -y + 4)).
The vector sum of (7 units down) + (3 units up) is (4 units down).
Which transformations could have been used to move the platter to the new location? A. a translation 9 units left and a translation 3 units down B. a reflection across MN and a translation 4 units left C. a reflection across MN and a translation 8 units left D. a rotation 180° clockwise about N and a translation 4 units left
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.
(x' , y') = (-x + 1 , y + 4)
(x,y)--(x-4,y+6)
(x1, y1) = (x - 8, y + 9)