A translation maps (-6,2) onto (-4,-2). Find the image of (3,5) under the same translation.
went right two and changed sign of y
To find the image of (3,5) under the same translation, we need to apply the translation rule to it.
The translation maps (-6,2) onto (-4,-2), which means that the x-coordinate is translated by +2 and the y-coordinate is translated by -4.
So, to find the image of (3,5):
- Add 2 to the x-coordinate of (3,5): 3 + 2 = 5
- Subtract 4 from the y-coordinate of (3,5): 5 - 4 = 1
Therefore, the image of (3,5) under the same translation is (5,1).
To find the image of the point (3,5) under the same translation, we need to understand how translation works.
A translation involves shifting an object or point by a fixed distance in a particular direction. In this case, the given translation maps the point (-6,2) onto (-4,-2).
To determine how this translation moves points, we can analyze the change in x and y coordinates between the original point and its image.
Original Point: (-6, 2)
Image Point: (-4, -2)
Change in x coordinates: (-4) - (-6) = 2
Change in y coordinates: (-2) - 2 = -4
We can observe that the image point moves two units to the right and four units downwards from the original point under this translation.
Now, we can apply the same changes in coordinates to find the image of the point (3,5).
Original Point: (3, 5)
Change in x coordinates: 2 (move two units to the right)
Change in y coordinates: -4 (move four units downwards)
To get the image point, we can add these changes to the original coordinates:
Image Point = (3 + 2, 5 - 4)
Image Point = (5, 1)
Therefore, the image of the point (3,5) under the same translation is (5,1).