A graph that shows the triangle translated 2 units left include the following: B. graph B.
In Mathematics, a translation is a type of transformation that shifts every point of a geometric object in the same direction on the cartesian coordinate, as well as for the same distance.
In this exercise, we would apply a translation of 2 units to the left to triangle ABC (ΔABC), in order to determine the coordinates of its image as follows;
(x, y) → (x - 2, y)
A (-1, -1) → (-1 - 2, -1) = A' (-3, -1).
B (-1, -5) → (-1 - 2, -5) = B' (-3, -5).
C (0.5, -5) → (0.5 - 2, -5) = C' (-1.5, -5).
In conclusion, we can logically deduce that the coordinates of the image (triangle A'B'C') are A' (-3, -1), B' (-3, -5), and C' (-1.5, -5).
Complete Question:
The triangle on the grid will be translated two units left. Which shows the triangle translated 2 units left?