Translation Image Ce0E69

1. **State the problem:** We need to find the new coordinates of point $M(-3, -4)$ after applying the translation rule $(x, y) \to (x + 4, y)$. 2. **Recall the translation formula:** A translation moves every point by adding a fixed amount to the $x$ and/or $y$ coordinates. Here, the rule adds $4$ to the $x$-coordinate and leaves the $y$-coordinate unchanged. 3. **Apply the translation:** $$ (x, y) = (-3, -4) \to (x + 4, y) = (-3 + 4, -4) = (1, -4) $$ 4. **Interpret the result:** The image of $M$ after the translation is the point with coordinates $(1, -4)$. 5. **Check the options:** The correct choice is $(1, -4)$. **Final answer:** $(1, -4)$