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.
Answer:
31.
Step-by-step explanation:
5+5 = 10 + 1 = 11
12 + 12 = 24 +1 = 25
15 + 15 = 30 + 1 = 31
I don't know I tried to see if that was the pattern. It checks out math wise.
Answer:
5/24 or 20.8%
Step-by-step explanation:
Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2
Probability that the 8th grader is a boy = 5/(5+7) = 5/12
Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%
Answer:
12
Step-by-step explanation:
4 times 8 =32, 32 - 20= 12
Since when you multiply the numbers through, you see that the values are the same. Because of this, you can tell that you are demonstrating the distributive property.
Answer = C