A rectangular conatainer with a square base is 2/3 full of water. This water is used to fill some small containers how many small containers can it fill

5 small containers will be  required and used.

This water is used to fill four and half  small containers exactly.

4.5 small containers

Step-by-step explanation:

The rectangular container has dimensions 12*12*45 cm  and the small container has dimensions 6*5*8 cm

The rectangular container with a square base is 2/3 full of water.The height is used up to 45*2/3= 7.5 cm

The volume of the water in the rectangular container with a square base is

12*12*7.5= 1080 cm³

The volume of the water in the smaller container is

6*5*8= 240 cm³

Number of smaller containers required = Volume of large container / Volume of smaller container

Number of smaller containers required =1080 cm³/240 cm³= 4.5

This water is used to fill four and half  small containers exactly.

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