1. **Problem Statement:** Reflect the triangle with vertices at $ (2, -4), (4, -2), (4, -4) $ over the vertical line $ p $, which is the y-axis ($ x=0 $). 2. **Reflection Rule:** When reflecting a point over the y-axis, the $ y $-coordinate remains the same, and the $ x $-coordinate changes sign. The formula for reflection over the y-axis is: $$ (x, y) \to (-x, y) $$ 3. **Apply the Reflection:** - Reflect $ (2, -4) $: $$ (2, -4) \to (-2, -4) $$ - Reflect $ (4, -2) $: $$ (4, -2) \to (-4, -2) $$ - Reflect $ (4, -4) $: $$ (4, -4) \to (-4, -4) $$ 4. **Result:** The reflected triangle has vertices at $ (-2, -4), (-4, -2), (-4, -4) $. This reflection flips the triangle across the y-axis, creating a mirror image on the left side of the line $ p $.