The figure and its image after the translation are added as an attachment
How to determine the figure and its image after the translation
From the question, we have the following parameters that can be used in our computation:
The triangle
Where, we have
A(-4, -3), B(-6, 2) and C(0, 0)
The translation is given as
(x, y) → (х, y + 3)
Using the above as a guide, we have the following:
A'(-4, -3 + 3), B'(-6, 2 + 3) and C'(0, 0 + 3)
Evaluate
A'(-4, 0), B'(-6, 5) and C'(0, 3)
Hence, the points after the translation are A'(-4, 0), B'(-6, 5) and C'(0, 3)