Sand is being poured into a pile that has the shape of a cone. The height of the pile, in feet, is given below at various numbers of minutes, 1, that sand has been pouring out. At what average rate did the height of the
pile change over the interval 35158?
0
1
2.
3
4
5
6.
7
8
9
1 (minutes)
h (feet)
0
3.2
5.8
8.2
10.4
12.1
13.5
14.7
15.8
16.6
feet
(1) 1.52
minute
(3) 1.84
feet
minute
(2) 0.66
minutes
feet
feet
(4) 0.52
minute

what are ur choices?

nlgqer

step-by-step

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1