Answer:
Option a. (-5, 2)
Step-by-step explanation:
The focus of a parabola is a point. Regarding this point, each point of the parabola has the same distance to a line that is known as "directrix".
By definition, for a parabola of the form:
[tex](x-h)^2 = 4p(y-k)[/tex]
The focus of the parable is given by the point: (h, k +p)
We must identify the values of h, k and p for the given equation.
[tex](x + 5)^2 = 4(y - 1)[/tex]
[tex]h = -5\\k = 1\\4p = 4\\p =1[/tex]
Now that we know the values of h, k and p we can find the focus
The focus is
(-5, 1+1)
(-5, 2).
