Answer:
2 quarts
Step-by-step explanation:
He originally had 8 quarts, then he sold a total of 18+6 which is 24 cups of lemonade. 4 cups is one quart, so he sold 6 quarts. 8-6 is 2, so he is left with 2 quarts.
For this case we have:
The equation in vertex form of the parabola is given by:
![y = a (x-h) ^ 2 + k\\](https://tex.z-dn.net/?f=y%20%3D%20a%20%28x-h%29%20%5E%202%20%2B%20k%5C%5C)
The vertex is (h, k) and is given by the highest or lowest point of the parabola, in this case it is observed that it is ![(h, k) = (- 3, -1)\\](https://tex.z-dn.net/?f=%28h%2C%20k%29%20%3D%20%28-%203%2C%20-1%29%5C%5C)
Thus, the equation is given by:
![y = a (x - (- 3)) ^ 2 + (- 1)\\\\y = a (x + 3) ^ 2-1\\](https://tex.z-dn.net/?f=y%20%3D%20a%20%28x%20-%20%28-%203%29%29%20%5E%202%20%2B%20%28-%201%29%5C%5C%5C%5Cy%20%3D%20a%20%28x%20%2B%203%29%20%5E%202-1%5C%5C)
We look for the value of a, substituting a point of the parabola in the equation in the form of vertex, we will take the point ![(x, y) = (0,8)\\](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%3D%20%280%2C8%29%5C%5C)
Substituting we have:
![8 = a (0 - (- 3)) ^ 2 + (- 1)\\\\8 = a (0 + 3) ^ 2-1\\\\8 = a (3) ^ 2-1\\](https://tex.z-dn.net/?f=8%20%3D%20a%20%280%20-%20%28-%203%29%29%20%5E%202%20%2B%20%28-%201%29%5C%5C%5C%5C8%20%3D%20a%20%280%20%2B%203%29%20%5E%202-1%5C%5C%5C%5C8%20%3D%20a%20%283%29%20%5E%202-1%5C%5C)
![8 = 9a-1\\\\8 + 1 = 9a\\\\9 = 9a\\](https://tex.z-dn.net/?f=8%20%3D%209a-1%5C%5C%5C%5C8%20%2B%201%20%3D%209a%5C%5C%5C%5C9%20%3D%209a%5C%5C)
![a = \frac{9}{9}\\\\a = 1\\](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B9%7D%7B9%7D%5C%5C%5C%5Ca%20%3D%201%5C%5C)
Thus, the equation of the parabola is given by:
![y = (x + 3) ^ 2-1\\](https://tex.z-dn.net/?f=y%20%3D%20%28x%20%2B%203%29%20%5E%202-1%5C%5C)
Answer:
![y = (x + 3) ^ 2-1](https://tex.z-dn.net/?f=y%20%3D%20%28x%20%2B%203%29%20%5E%202-1)
Answer:
1st option...............
Answer:
11.7 in
Step-by-step explanation: