Answer:
- y = -(x-1)² . . . . reflected over the x-axis
- y = (x-1)² +1 . . . . translated up by 1 unit
- y = (x+1)² . . . . reflected over the y-axis
- y = (x-2)² . . . . translated right by 1 unit
- y = (x-1)² -3 . . . . translated down by 3 units
- y = (x+3)² . . . . translated left by 4 units
Step-by-step explanation:
Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:
- f(x-a) . . . translates right by "a" units
- f(x) +a . . . translates up by "a" units
- a·f(x) . . . vertically scales by a factor of "a". When a < 0, reflects across the x-axis
- f(ax) . . . horizontally compresses by a factor of "a". When a < 0, reflects across the y-axis.
Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.
 
        
             
        
        
        
Answer:
a) The probability that exactly 41 of the murders were cleared is 0.0013
b) The probability that between 36 and 38 of the murders, inclusive, were cleared is 0.0809. 
c) Yes, it would be unusual
Step-by-step explanation:
Let p=62% considered as the probability of having a commited that is cleared by arres or exceptional means. We assume that choosing each of the 50 commited is independent of each choose. Then, let X be the number of cleared. In this case, X is distributed as a binomial random variable. Recall that, in this case, 
 for
 for , with p=0.62
, with p=0.62
a) We have that 

b) We are asked for the following 
 (The specific calculation is omitted.
 (The specific calculation is omitted. 
c) We will check for the following probability 

Given that the probability of this event is really close to 0, it would be unusual if less than 19 murders are cleared. 
 
        
             
        
        
        
Answer:
around 81.2 degrees
Step-by-step explanation:
use inverse tangent
remeber tan = O/H
divide it first
84/13
6.461538461538462
then use invese tan( )
)
81.20258929000894
or around 81.2 degrees
 
        
             
        
        
        
Answer:
cx
Step-by-step explanation:
 
        
             
        
        
        
LoLlLOOlLlL A or D I think please don’t trust me