It is given in the question
Point P(−3, −4) is translated 4 units to the right.
And we have to find the coordinates of its image after this transformation.
Since the point is translated 4 units right, so the y coordinate remain same and we have to add 4 to the x coordinate.
That is
![P' (-3+4,-4) \\ P'(1,-4)](https://img.qammunity.org/2019/formulas/mathematics/high-school/nwk7zw95oehxnsncx3ihqsfp6vzyt7b3bg.png)
Therefore P'(1,-4) is the coordinates of its image after the given transformation.