Question

Triangle HIJ has coordinates H(–1, 1), I(1, 4), and J(1, 3). Graph the triangle and its translation 3 units to the right and 2 units down. What are the coordinates of I.

Answer 1

I remember this from last year any way your answers will be
H(2,-1)
i(4,2)
J(4,1)

Answer 2

`(4,2)`

Explanation:

We have been given that triangle HIJ has coordinates
`H(-1,1)`,
`I(1,4)` and
`J(1,3)`. We are asked to find the coordinate of point I after a translation of 3 units to the right and 2 units down.

The translation of 3 units to right means that we need to add 3 to x-coordinates.

The translation of 2 units down means that we need to subtract 2 from y-coordinates.

`H(-1,1)\rightarrow H'(-1+3,1-2)=H'(2,-1)`

`I(1,4)\rightarrow I'(1+3,4-2)=I'(4,2)`

`J(1,3)\rightarrow J'(1+3,3-2)=I'(4,1)`

Therefore, the coordinates of point I' after translation would be
`(4,2)`.