To find the image of the point (-5, 2) under the translation ( t(3, -4) ), you add the translation vector to the original point. This means you calculate: [ (-5 + 3, 2 - 4) = (-2, -2). ] Thus, the image of the point (-5, 2) under the translation ( t(3, -4) ) is (-2, -2).
The rule is (-2, -5)
The image of a point under a transformation is its new position after applying the transformation. For example, in a translation, the point shifts to a new location based on a given direction and distance. Similarly, in a reflection, rotation, or scaling, the image is determined by the transformation's rules. visit our website: www. cndhearingsolution.co.nz/ear-suction/
1
It is (2, -6)
When the point (-3, 2) is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. Thus, the resulting image of the point after the reflection is (-3, -2).
The rule is (-2, -5)
(2,1)
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).
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.
The image of a point under a transformation is its new position after applying the transformation. For example, in a translation, the point shifts to a new location based on a given direction and distance. Similarly, in a reflection, rotation, or scaling, the image is determined by the transformation's rules. visit our website: www. cndhearingsolution.co.nz/ear-suction/
The image is -8, -4
1
It is (2, -6)
A reflection or a 'mirror image' in the y axis
70
When the point (-3, 2) is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same. Thus, the resulting image of the point after the reflection is (-3, -2).
It will be (-2, 3, -5).