## Functions Modeling Change: A Preparation for Calculus, 5th Edition

$$\left(w+\frac{7}{2}\right)^2-\frac{49}{4}$$
Completing the square, we obtain: $$w^2+7w+\left(\frac{7}{2}\right)^2-\left(\frac{7}{2}\right)^2 \\ \left(w+\frac{7}{2}\right)^2-\left(\frac{7}{2}\right)^2 \\ \left(w+\frac{7}{2}\right)^2-\frac{49}{4}$$