To find the coordinates of the lowest vertex of the triangle after Jaydin translates it, we first need to identify the lowest vertex from the original triangle's vertices:
- (−4,3)
- (−1,−5)
- (−2,6)
Among these vertices, the lowest one is (−1,−5).
Next, we apply the translation: 5 units up and 2 units to the right.
-
Translating 5 units up:
\(y\) coordinate: \(-5 + 5 = 0\) -
Translating 2 units to the right:
\(x\) coordinate: \(-1 + 2 = 1\)
So, after performing both translations, the coordinates of the lowest vertex become \((1, 0)\).
Thus, the coordinates of the lowest vertex on the translated triangle are \(\boxed{(1,0)}\).