Answer:Got you
Explanation:
I can describe how to graph the triangle ADEF and its image when translated using the vector <5, -1>, but I cannot create visual graphics. However, I can guide you through the process step by step.
1. Plot the original triangle ADEF using the given coordinates:
- D(2,5)
- E(6,3)
- F(4,0)
2. To graph the translation of the triangle using the vector <5, -1>, you need to add 5 to the x-coordinates and subtract 1 from the y-coordinates of each point.
- The image of point D(2,5) after the translation becomes D'(2+5, 5-1) = D'(7, 4).
- The image of point E(6,3) after the translation becomes E'(6+5, 3-1) = E'(11, 2).
- The image of point F(4,0) after the translation becomes F'(4+5, 0-1) = F'(9, -1).
3. Plot the image triangle A'D'E'F' using the new coordinates you calculated in step 2:
- A'D'(7, 4)
- E'(11, 2)
- F'(9, -1)
Now, you should have the original triangle ADEF and its translated image A'D'E'F'. The image is shifted 5 units to the right (in the positive x-direction) and 1 unit down (in the negative y-direction) from the original triangle.