Answer:
A. [tex](-5,6),(2,5),(-1,1)[/tex]
Step-by-step 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 [tex](-7,3)[/tex], [tex](0,2)[/tex] and [tex](-3,-2)[/tex].
After adding 2 to x-coordinates and 3 to y-coordinates the new coordinates would be:
[tex](-7,3)\rightarrow (-7+2,3+3)=(-5,6)[/tex],
[tex](0,2)\rightarrow (0+2,2+3)=(2,5)[/tex]
[tex](-3,-2)\rightarrow (-3+2,-2+3)=(-1,1)[/tex]
Therefore option A is the correct choice.
