Triangle hij had a vertices of h (1,7),I(-4,-2),j(-3,5) write the coordinate notation for a translation of 3 units to the right and 4 units up

The coordinates are H'(4,11), I'(-1,2), J' (0,9).

Step-by-step 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)