Millie will have to pay the $20 back, and as she already has no money, she's now $20 in debt
Answer:
g(x)=f(x+3)+5
Step-by-step explanation:
Answer:
Hi, Jordan here! :D
Step-by-step explanation:
A triangular prism is a prism that has two congruent triangles as its bases connected by three rectangular lateral faces. The surface area of the triangular prism is the sum total of the areas of its bases and its lateral faces. Formula to find the surface area of a triangular prism. The Surface Area = 2 B + p h.
I hope this helps, let me know if it's wrong :D
Answer:
![2(x-2)^2-7](https://tex.z-dn.net/?f=2%28x-2%29%5E2-7)
Step-by-step explanation:
![y=2x^2-8x+1](https://tex.z-dn.net/?f=y%3D2x%5E2-8x%2B1)
When comparing to standard form of a parabola: ![ax^2+bx+c](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc)
Vertex form of a parabola is:
, which is what we are trying to convert this quadratic equation into.
To do so, we can start by finding "h" in the original vertex form of a parabola. This can be found by using:
.
Substitute in -8 for b and 2 for a.
![\frac{-(-8)}{2(2)}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-8%29%7D%7B2%282%29%7D)
Simplify this fraction.
![\frac{8}{4} \rightarrow2](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B4%7D%20%5Crightarrow2)
![\boxed{h=2}](https://tex.z-dn.net/?f=%5Cboxed%7Bh%3D2%7D)
The "h" value is 2. Now we can find the "k" value by substituting in 2 for x into the given quadratic equation.
![y=2(2)^2-8(2)+1](https://tex.z-dn.net/?f=y%3D2%282%29%5E2-8%282%29%2B1)
Simplify.
![y=-7](https://tex.z-dn.net/?f=y%3D-7)
![\boxed{k=-7}](https://tex.z-dn.net/?f=%5Cboxed%7Bk%3D-7%7D)
We have the values of h and k for the original vertex form, so now we can plug these into the original vertex form. We already know a from the beginning (it is 2).
![a(x-h)^2+k\\ \\ 2(x-2)^2-7](https://tex.z-dn.net/?f=a%28x-h%29%5E2%2Bk%5C%5C%20%5C%5C%202%28x-2%29%5E2-7)