Question 1052024
Similar to your other question like this.


{{{(y-1)^2=2(x+4)}}}, simple factorization;


{{{2(x+4)=(y-1)^2}}}
This form and readable values should tell you that this parabola is of symmetry axis parallel to the x-axis, vertex point is a the far left of the graph and parabola opens to the right.  (The parabola is HORIZONTAL).



Remember the equational form,  {{{4p(x-h)=(y-k)^2}}} ?


Vertex, you read right from the equation:  (-4,1).


p is distance between vertex and either the focus or directrix.
{{{4p=2}}}
{{{p=1/2}}}---------you can find from this, the focus and the directrix.