Mal is filling a tank. The graph shows the amount of water (In liters) in the tank versus time (in minutes). 500
450+
400+
(a) What is the amount of water in the tank at 0 minutes?
1 liters
(b) Choose the statement that best describes how the time and
amount of water are related. Then fill in the blank.
As time increases, the amount of water in the tank
decreases.
350+
300
250+
Amount
of water
(liters)
200-
150-1
At what rate is the amount of water decreasing?
100
50
liters per minute
As time increases, the amount of water in the tank
Increases.
Time (minutes)
At what rate is the amount of water increasing?
liters per minute

where is the figure

answer:

your answer is: c. 196 7/8 in^3.

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