Given the directrix of y = 6 and focus of (0, 4), which is the equation of the parabola?

Step-by-step explanation:

Since directrix is a horizontal line, this is a regular vertical parabola, where the x part is squared.  The equation of a vertical parabola is:

(x - h)² = 4p(y - k)    

where,

(h,k) are the coordinates of the vertex

p = distance from the vertex to the focus

So, we need to find out h, k and p and plug those values :

We know that the vertex of a parabola is halfway between focus and the directrix . We know the focus (0,4) and directrix y = 6  therefore, vertex (h,k) = (0, 0)

Now, p = distance from the vertex to the focus

= distance from the (0,0) to the (0,4)

= 4

Plug all the values in equation:

Now, we rearrange to write this into standard form (y =)

or,

is this part of a question or something

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.