A, C, D, G
_____
B - the graph is of a quadratic function (apparently). It has a minimum value of -9 as shown on this graph. The maximum is +∞, which is not of interest.
E - the intercepts are (-4, 0) and (2, 0).
F - the vertex is (-1, -9). The solutions are the zeros or x-intercepts (generally), unless the question is asking specifically for the extreme value and where it is located. That is, the solutons to (x +1)^2 -9 = 0 will be -4 and 2.
You need to find the total surface area of the rectangular prism. The top and bottom are 8(6), which equals 48. Since we want both the top and bottom, multiple 48 by 2 to get 96. The we need to calculate the remaining 4 sides. Two of them are 15(6), which is 90. Again, multiply by two since there’s two of those sixes to get 180. Finally, the last two sides are 15(8), which is 120. Add all of these numbers together to get 96+180+120=396. So she will need 396 cm^2 of fabric.
Answer:

General Formulas and Concepts:
<u>Calculus</u>
Integration
Integration Rule [Reverse Power Rule]: 
Integration Rule [Fundamental Theorem of Calculus 1]: 
Integration Property [Addition/Subtraction]: ![\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%20%7B%5Bf%28x%29%20%5Cpm%20g%28x%29%5D%7D%20%5C%2C%20dx%20%3D%20%5Cint%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%5Cpm%20%5Cint%20%7Bg%28x%29%7D%20%5C%2C%20dx)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>

<u>Step 2: Integrate</u>
- [Integral] Rewrite [Integration Property - Addition/Subtraction]:

- [Left Integral] Integration Rule [Reverse Power Rule]:

- [Right Integral] Trigonometric Integration:

- Integration Rule [Fundamental Theorem of Calculus 1]:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
The slope is -3 and the intercept is (0,9) or just 9 in this case, I hope that it’s right