Answer:
![h(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=h%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D)
Step-by-step explanation:
we have
![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
The inflection point of f(x) is the point 
The inflection point of h(x) is the point  -----> see the given graph
 -----> see the given graph
so
the rule of the translation of f(x) to h(x) is

That means------> The translation is  units to the left
 units to the left
therefore
The equation of h(x) is equal to
![h(x)=\sqrt[3]{x+2}](https://tex.z-dn.net/?f=h%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D)
 
        
                    
             
        
        
        
Answer: x=−6,2
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
 y= 7^-t
Step-by-step explanation:
Equation for exponential decay:
An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.
In this question:
First option 4 is elevated, so not exponential decay.
Second option:

 , thus, the second option represents exponential decay.
, thus, the second option represents exponential decay.
 
        
             
        
        
        
Answer:
f(x)=2x-1
Step-by-step explanation:
The output is f(x). The input is x. 
The prompt says to multiply the input by 2, so 2x. 
Then subtract 1 to get f(x). 
Hope this helps!
 
        
             
        
        
        
Answer: (1, -5)
x = 1
y = -5
*Hope this helps, enjoy the rest of your day! ♥️*