## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

The graph for the equation $x=-{{y}^{2}}-4y$.
Let the equation $x=-{{y}^{2}}-4y$ be (equation - 1) \begin{align} & y=-\frac{b}{2a} \\ & =-\frac{\left( -4 \right)}{2\cdot \left( -1 \right)} \\ & =-2 \end{align} Now for the x value put $y=-2$ in equation (1). \begin{align} & x=-{{\left( -2 \right)}^{2}}-4\cdot \left( -2 \right) \\ & =4 \end{align} The vertex is $\left( 4,-2 \right)$. Now choose some value of x on both sides of the vertex and compute the corresponding y value. $\begin{matrix} x & y \\ 4 & -2 \\ -5& 1 \\ 0 & 0 \\ 3 & -1 \\ 3 & -3 \\ \end{matrix}$