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

The vertex is $\left( 2,-1 \right)$ and axis of symmetry is $y=-1$.
\begin{align} & x={{y}^{2}}+2y+1+2 \\ & ={{y}^{2}}+y+y+1+2 \\ & =y\left( y+1 \right)+1\left( y+1 \right)+2 \\ & =\left( y+1 \right)\left( y+1 \right)+2 \end{align} Further simplify, $x={{\left( y+1 \right)}^{2}}+2$ Compare it with the standard equation of a parabola, $a=1,h=2$ and $k=-1$