Question

What are the coordinates of the vertices of the triangle under the translation (x, y) —> (x + 2, y + 3)?

Answer 1

for each vertex just take the x and y coordinate and apply the translation. so for the point (-3,-2) make them (-3+2, -2+3)=(-1,1) and do the same for the other two points (0,2) and (-7,3)

Answer 2

A.
`(-5,6),(2,5),(-1,1)`

Explanation:

We have been given an image of a triangle on coordinate plane. We are asked to find the coordinates of vertices of the triangle under the translation (x, y) —> (x + 2, y + 3).

The given translation rule tells us to add 2 to x-coordinates and 3 to y-coordinates of each vertices of the given triangle.

The coordinates of vertices of the triangle are
`(-7,3)`,
`(0,2)` and
`(-3,-2)`.

After adding 2 to x-coordinates and 3 to y-coordinates the new coordinates would be:

`(-7,3)\rightarrow (-7+2,3+3)=(-5,6)`,

`(0,2)\rightarrow (0+2,2+3)=(2,5)`

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

Therefore option A is the correct choice.