Question 1036048
That is a form which you could get if you were given the focus and directrix and then derived the equation shown.  The process would have gone like any of these:


<a href="https://www.youtube.com/watch?v=M8LGsQMwwj4">Deriving parabola equation, vertex at Origin, horizontal symmetry axis</a>
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<a href="https://www.youtube.com/watch?v=Wworlx39KfQ">Deriving parabola equation, vertex not at Origin, vertical symmetry axis</a>


You can read some information directly from the equation which you have.
The vertex is  (-3,4).


The negative coefficient on the x side tells you that this has a graph with horizontal symmetry axis and the parabola opens toward the left, and vertex is a rightmost point on the parabola.


A value p  is the distance between the vertex and either the focus or directrix.  You have 8=4p, which is what you learn in making the derivation.  You can solve for p and determine the focus and the directrix.