1. **State the problem:** We need to find the values of $A$, $B$, $C$, and $D$ in the table for the function $y = -4x$ given $x$ values $-1$, $0$, $1$, and $2$. 2. **Formula used:** The function is linear and given by $$y = -4x$$ This means for each $x$, multiply by $-4$ to get $y$. 3. **Calculate each value:** - For $x = -1$: $$y = -4 \times (-1) = 4$$ so $A = 4$. - For $x = 0$: $$y = -4 \times 0 = 0$$ so $B = 0$. - For $x = 1$: $$y = -4 \times 1 = -4$$ so $C = -4$. - For $x = 2$: $$y = -4 \times 2 = -8$$ so $D = -8$. 4. **Summary:** The completed table values are $A=4$, $B=0$, $C=-4$, and $D=-8$. This shows the linear relationship where $y$ decreases by 4 units for every increase of 1 in $x$.