Answer
multiple answers; see details
Work Step by Step
The standard form of the equation $
x=2(y-5)^2+4
$ is
\begin{array}{l}
x-4=2(y-5)^2\\\\
(y-5)^2=\dfrac{x-4}{2}\\\\
(y-5)^2=\dfrac{1}{2}(x-4)
.\end{array}
The graph of this equation is a $\text{
parabola
}$ with the following properties:
\begin{array}{l}
\text{Vertex: }(
4,5
),\\\\\text{Opening:
right
}.\end{array}
Using the properties above, the graph of the equation is given below.
