Answer
The parabola, focus and directrix should be rotated by $90$ degrees clockwise.
Work Step by Step
$\bf{Step\text{ }1}$
Bring the equation in standard form:
$$\begin{align*}
-6x+y^2&=0&&\text{Write the original equation.}\\
y^2&=6x&&\text{Add }6x\text{ to each side}.
\end{align*}$$
$\bf{Step\text{ }2}$
We identify the focus, directrix and axis of symmetry. The equation has the form $y^2=4px$, where $p=1.5$. The $\bf{focus}$ is $(p,0)$ or $\left(1.5,0\right)$. The $\bf{directrix}$ is $x=-p$ or $x=-1.5$. Because $y$ is squared, the $\bf{axis\text{ } of\text{ }symmetry}$ is the $x$-axis.
$\bf{Step\text{ }3}$
We $\bf{draw}$ the parabola by making a table of values and plotting points. As $p>0$, the parabola opens to the right. So we will use only positive $x$-values.
\[ \begin{array}{cccccc}
x &|& 1 &|& 2 &|& 3 &|& 4 &|& 5 &|&\\
y &|& \pm 2.45 &|& \pm 3.46 &|& \pm 4.24 &|& \pm 4.90 &|& \pm 5.48 &|&\\
\end{array}\]
The mistake in the given graph is that the parabola, the focus and the directrix should be rotated by $90$ degrees clockwise.
Here is the correct graph:
