Answer:
 a horizontal translation by 3 units left
Step-by-step explanation:
f(x)= |x|
we are given with absolute function f(x)
g(x)  = |x+3|
To get g(x) from f(x) , 3 is added with x
If any number is added with x  then the graph of the function move to the left
Here 3 is added with x, so the graph of f(x) moves 3 units left to get g(x)
So there will be a horizontal translation by 3 units
 
        
             
        
        
        
Answer:
   
Step-by-step explanation:
One of the rules of logarithms is ...
   log(a^b) = b·log(a)
So ...

 
        
             
        
        
        
Answer:
   70, 140, 280, 350
Step-by-step explanation:
Obviously, it must have the factors 2, 5, 7 as a minimum, so the smallest value is 2×5×7 = 70.
Any of these primes can be added to the product. In increasing order, the smallest additional factors will be 2, 4, 5, 7, 8, 10, ...
So, the four smallest numbers with prime factors of 2, 5, and 7 are ...
   70 = 2·5·7
   140 = 2²·5·7
   280 = 2³·5·7
   350 = 2·5²·7
 
        
             
        
        
        
The answer you are looking for is 12.0