Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = −1. (2 points)

Step-by-step explanation:

 Focus =(h,k+p)  

Directrix= y=k-p

Focus given is : (0,1)

And directrix given is : y=-1

(h,k+p) =(0,1)

On comparing the values we get

h=0 and k+p=1

y=k-p= -1

Hence, we gave two equations

k+p=1  and k-p= -1

Substitute p= 1-k in k-p= -1 we get:

k-(1-k) = -1

k-1+k= -1

k=0

Now, we get

h=0 and k=0

And put k=0 in p = 1-k

We get p=1

We have general equation of parabola

Hence, the required equation is :

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

add 5 subtract 1

step-by-step explanation: