In general, a translation:
• in the x-direction by n units is given by: (x, y) → (x + n, y),
,
• in the y-direction by m units is given by: (x, y) → (x, y + m),
,
• the combination of both translations is: (x, y) → (x + n, y + m).
In this problem, we want to translate a triangle 2 units up and 5 units to the right, so we want to translate the points of the triangle in the following way:
[tex](x,y)\rightarrow(x+5,y+2)[/tex]
From the graph we see that the coordinates of point A are:
[tex](x_A,y_A)=(-1,2)[/tex]
Making the translation we get:
[tex](x_A+5,y_A+2)=(-1+5,2+2)=(4,4)[/tex]
Answer
(4,4)
