The translation of four units up describes the transform function g(x) option first is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The question is:
The graph shows f(x)=(1/2)ˣ and its translation, g(x).
Which describes the translation of f(x) to g(x)?
- Translation of four units up
- Translation of five units up
- Translation of four units to the right
- Translation of five units to the right
The graph is attached please refer to the picture.
We have the equation of the function f(x):
![\rm f(x) = (\dfrac{1}{2})^x](https://tex.z-dn.net/?f=%5Crm%20f%28x%29%20%3D%20%28%5Cdfrac%7B1%7D%7B2%7D%29%5Ex)
From the graph, we can see the graph of the function f(x) is shifted up 4 units because the y-intercept of the graph g(x) is (0, 5)
g(x) = f(x) + 4
![\rm g(x) = (\dfrac{1}{2})^x + 4](https://tex.z-dn.net/?f=%5Crm%20g%28x%29%20%3D%20%28%5Cdfrac%7B1%7D%7B2%7D%29%5Ex%20%2B%204)
Thus, the translation of four units up describes the transform function g(x) option first is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
Consider the prime factorization of 20!.
![20! = 20 \times 19 \times 18 \times \cdots \times 3 \times 2 \times 1](https://tex.z-dn.net/?f=20%21%20%3D%2020%20%5Ctimes%2019%20%5Ctimes%2018%20%5Ctimes%20%5Ccdots%20%5Ctimes%203%20%5Ctimes%202%20%5Ctimes%201)
The LCM of 1, 2, ..., 20 must contain all the primes less than 20 in its factorization, so
![M = 2 \times 3 \times 5 \times 7 \times 11 \times 13 \times 17 \times 19 \times m](https://tex.z-dn.net/?f=M%20%3D%202%20%5Ctimes%203%20%5Ctimes%205%20%5Ctimes%207%20%5Ctimes%2011%20%5Ctimes%2013%20%5Ctimes%2017%20%5Ctimes%2019%20%5Ctimes%20m)
where
is some integer not divisible by any of these primes.
Compare the factorizations of the remaining divisors of 20!, and check off any whose factorizations are already contained in the product of primes above.
- missing a factor of 2
- ✓
- missing a factor of 2²
- missing a factor of 3
- ✓
- missing a factor of 2
- ✓
- ✓
- missing a factor of 2³
- missing a factor of 3
- missing a factor of 2
From the divisors marked "missing", we add the necessary missing factors to the factorization of
, so that
![M = 2 \times 3 \times 5 \times 7 \times 11 \times 13 \times 17 \times 19 \times 2^3 \times 3](https://tex.z-dn.net/?f=M%20%3D%202%20%5Ctimes%203%20%5Ctimes%205%20%5Ctimes%207%20%5Ctimes%2011%20%5Ctimes%2013%20%5Ctimes%2017%20%5Ctimes%2019%20%5Ctimes%202%5E3%20%5Ctimes%203)
Then the LCM of 1, 2, 3, …, 20 is
![M = 2^4 \times 3^2 \times 5 \times7 \times 11 \times 13 \times17 \times 19](https://tex.z-dn.net/?f=M%20%3D%202%5E4%20%5Ctimes%203%5E2%20%5Ctimes%205%20%5Ctimes7%20%5Ctimes%2011%20%5Ctimes%2013%20%5Ctimes17%20%5Ctimes%2019)
![\implies \boxed{M = 232,792,560}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cboxed%7BM%20%3D%20232%2C792%2C560%7D)
<h2>
Answer:</h2>
The quadratic function are:
option: A A) y(y + 4) - y = 6
Option: C C.) 4b(b) = 0
<h2>
Step-by-step explanation:</h2>
We know that the general equation of a quadratic equation in terms of a variable x is given by:
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
A)
y(y + 4) - y = 6
On simplifying the terms we have:
![y^2+4y-y=6\\\\y^2+3y-6=0](https://tex.z-dn.net/?f=y%5E2%2B4y-y%3D6%5C%5C%5C%5Cy%5E2%2B3y-6%3D0)
Hence, option: A is correct.
B)
(3x + 2) + (6x - 1) = 0
![(3x + 2) + (6x - 1) = 0\\\\i.e.\\\\3x+2+6x-1=0\\\\i.e.\\\\3x+6x+2-1=0\\\\i.e.\\\\9x+1=0](https://tex.z-dn.net/?f=%283x%20%2B%202%29%20%2B%20%286x%20-%201%29%20%3D%200%5C%5C%5C%5Ci.e.%5C%5C%5C%5C3x%2B2%2B6x-1%3D0%5C%5C%5C%5Ci.e.%5C%5C%5C%5C3x%2B6x%2B2-1%3D0%5C%5C%5C%5Ci.e.%5C%5C%5C%5C9x%2B1%3D0)
Hence, it is a linear equation.
Hence, option: B is incorrect.
C)
4b(b) = 0
it could also be written as:
![4b^2=0](https://tex.z-dn.net/?f=4b%5E2%3D0)
Hence, it is a quadratic equation.
Hence, option: C is correct.
D)
3a - 7 = 2(7a - 3)
![3a-7 = 2(7a-3)\\\\i.e.\\\\3a-7=14a-6\\\\\\i.e.\\\\14a-6-3a+7=0\\\\i.e.\\\\14a-3a-6+7=0\\\\i.e.\\\\11a+1=0](https://tex.z-dn.net/?f=3a-7%20%3D%202%287a-3%29%5C%5C%5C%5Ci.e.%5C%5C%5C%5C3a-7%3D14a-6%5C%5C%5C%5C%5C%5Ci.e.%5C%5C%5C%5C14a-6-3a%2B7%3D0%5C%5C%5C%5Ci.e.%5C%5C%5C%5C14a-3a-6%2B7%3D0%5C%5C%5C%5Ci.e.%5C%5C%5C%5C11a%2B1%3D0)
which is again a linear equation.
Hence, option: D is incorrect.
It’s B just look at graph
Answer:
network c
Step-by-step explanation:
its c bc it has less votes sampled so it will have less variability.