The equation of a parabola is given. y=1/2 x 2+6x+24 what is the equation of the directrix of the parabola? enter your answer in the box. will report if u give some random answer just to get points

y = 5.5

Step-by-step explanation:

Step 1: find the vertex

axis of symmetry:

y-coordinate of vertex:

= 18 - 36 + 24

= 6

Vertex: (-6, 6)

Step 2: find p (the distance from the vertex to the focus):

cross multiply to get: 2 = 4p

divide both sides by 4 to get:

Step 3: find the directrix

Since the parabola opens up, the focus will be above the vertex.

focus: (-6, 6 + ) = (-6, 6.5)

and the directrix will be below the vertex.

directrix: y = 6 - ⇒ y = 5.5

the diameter is 16 cm. are you a teacher?

step-by-step explanation: