Answer
multiple answers; see details
Work Step by Step
The standard form of the equation $
x=-y^2-4y+6
$ is
\begin{array}{l}
y^2+4y=-x+6\\\\
y^2+4y+4=-x+6+4\\\\
(y+2)^2=-x+10\\\\
(y+2)^2=-(x-10)
.\end{array}
The graph of this equation is a $\text{
parabola
}$ with the following properties:
\begin{array}{l}
\text{Vertex: }(
10,-2
),\\\\\text{Opening:
left
}.\end{array}
Using the properties above, the graph of the equation is given below.
