The coordinates are H'(4,11), I'(-1,2), J' (0,9).
Explanation:
Triangle HIJ had a vertices of h(1,7), i(-4,-2), j(-3,5)
Here we are going to translate the pre-image.
Translation up means we have to add the translated units to the y-coordinate of the (x,y) point of the preimage.
Translation to the right means we have to add the translated units to the x-coordinate of the (x,y) point of the preimage.
So the points of the image have the change in points using the translation as,
(x+3, y+4)
So the points of the triangle may be changed as,
H (1,7) → H'(1+3, 7+4) → H'(4,11)
I (-4,-2) → I' (-1,2)
J (-3,5) → J' (0,9)