The equation of a parabola is given. y = ½x² + 6x + 24 what is the equation of the directrix of the parabola? enter your answer in the box.

The equation of the directrix of the parabola is

Step-by-step explanation:

we know that

The equation of a vertical parabola in standard form is equal to

where

(h,k) is the vertex of the parabola

y=k-a is the directrix of the parabola

In this problem we have

Convert to standard form

therefore

----> standard form

The vertex is the point (-6,6)

The  directrix of the parabola is

therefore

The equation of the directrix of the parabola is

the answer to this question is in the pic