Question

Question 4: Identify the directrix. A. x = -6B. x = -3C. y = -3D. y = 0

Answer 1

Answer:

D. y = 0

Explanation:

If a parabola has the following form:

$(x-h)^2=4p(y-k)$

The directrix of the parabola will be the line with an equation:

y = k - p

In this case, we have:

$(x+2)^2=4(y-1)$

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