Answer:
The correct option is B.
Step-by-step explanation:
The given function is

The translation of a function is defined as

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.
If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.
It is given that the graph of f(x) shifts 4 units left and 2 units down. So, a=4 and b=-2.

![[\because f(x)=x^3]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3Dx%5E3%5D)

Therefore option B is correct.
Equation:
y + 2 = 1/3(x+1)
Assuming you are solving for Y:
y + 2 = 1/3(x) + 1/3(1)
(y + 2) - 2 = (1/3x + 1/3) - 2
y = 1/3x + 1/3 - 2
<u>y = 1/3x - 5/3</u>
Answer:
Step-by-step explanation:
The horizontal asymtote is when there are no solutions for x, so it is when y = -10.
This is because when y = -10, 0.8^x must be 0, but this is impossible. You can test this by trying 4^x/5^x. It will get super small, but never 0.
10x6=60 so 180-60=120 and 120 divided by 8 is 15 so the answer is 15 hours