What are the coordinates of the image of (−4,5)
under the translation (x,y)→(x−3,y+5) ?
To find the image of the point (-4,5) under the given translation:
1. Subtract 3 from the x-coordinate of (-4,5) to obtain the new x-coordinate:
-4 - 3 = -7
2. Add 5 to the y-coordinate of (-4,5) to obtain the new y-coordinate:
5 + 5 = 10
Therefore, the image of (-4,5) under the translation (x,y) → (x-3,y+5) is (-7,10).
To find the coordinates of the image of (-4,5) under the translation (x,y) → (x-3, y+5), you need to apply the translation to the given original coordinates.
1. Start with the original coordinates (-4,5).
2. Apply the translation by subtracting 3 from the x-coordinate and adding 5 to the y-coordinate.
- For the x-coordinate: -4 - 3 = -7.
- For the y-coordinate: 5 + 5 = 10.
Therefore, the image of (-4,5) under the translation (x,y) → (x-3,y+5) is (-7,10).
To find the image of the point (-4,5) under the translation (x,y) → (x-3,y+5), we need to apply the translation function to the given point.
Let's substitute the values of x and y into the translation function:
x' = x - 3
y' = y + 5
Substituting (-4,5) into the translation function:
x' = -4 - 3 = -7
y' = 5 + 5 = 10
Therefore, the image of (-4,5) under the translation (x,y) → (x-3,y+5) is (-7,10).