Answer:
[tex](y - 4)^2 = -4(x + 3)[/tex]
Step-by-step explanation:
When parabola opens the left then it is a horizontal parabola
Vertex form of horizontal parabola is
[tex](y-k)^2= 4p(x-h)[/tex]
where (h,k) is the vertex
When the parabola opens to the right then 4p is positive
when parabola opens to the left then 4p is negative
Now we look at the given equation and check with vertex form of parabola
[tex](y - 4)^2 = -4(x + 3)[/tex]
Here the value of 4p is negative , so parabola opens left
