### Home > INT2 > Chapter 7 > Lesson 7.2.3 > Problem7-109

7-109.

Complete the square to solve $0 = x^2 + 7x + 2$. Then sketch a graph of the function $y = x^2 + 7x + 2$. State the vertex and $y$‑intercept of the parabola. Does the vertex represent a minimum or a maximum?

 $\color{orange}{x}$ $x^2$ $-3.5x$ $\boldsymbol{= -2}$ $\color{orange}{-3.5}$ $-3.5x$ $\color{orange}{x}$ $\color{orange}{-3.5}$

The solution to the original equation gives the $x$-intercepts of the corresponding parabola.