Answer:
D. y = 0
Explanation:
If a parabola has the following form:
[tex](x-h)^2=4p(y-k)[/tex]
The directrix of the parabola will be the line with an equation:
y = k - p
In this case, we have:
[tex](x+2)^2=4(y-1)[/tex]
So, comparing the equations, we can say that:
4p = 4
k = 1
It means that the value of p can be calculated as:
4p = 4
4p/4 = 4/4
p = 1
Therefore, the equation of the directrix is:
y = k - p
y = 1 - 1
y = 0
So, the answer is D. y = 0
