1. **State the problem:** We have a rectangle QUAD with points Q(0,0), U(0,3), A(4,3), and D(4,0). The rectangle is dilated from center (0,0) with scale factor 5. We need to find the coordinates of point U' after dilation. 2. **Formula for dilation:** If a point $P(x,y)$ is dilated from center $C(0,0)$ with scale factor $k$, the image point $P'(x',y')$ is given by: $$x' = k \cdot x$$ $$y' = k \cdot y$$ 3. **Apply the formula to point U(0,3):** $$x' = 5 \cdot 0 = 0$$ $$y' = 5 \cdot 3 = 15$$ 4. **Intermediate step showing cancellation (if any):** No cancellation needed here since multiplication by 5 is straightforward. 5. **Final answer:** Coordinates of point U' are $(0, 15)$. This means point U moves vertically from 3 to 15 units away from the origin after dilation.