How can you use transformations to graph this function?
       
      
                
     
    
    
    
    
    2 answers:
            
              
              
                
                
Answer:
Sketch the graph of y=7^x
Reflect the graph across the y-axis to show the function y=7^-x
Stretch the graph vertically by a factor of 3 to show the function y= 3*7^-x
 Shift the graph up 2 units to show the function y=3*7^-x+2 
Step-by-step explanation:
 
                                
             
                    
              
              
                
                
The parent function for this function is 

We have to explain how the given function can be obtained from the parent function.
Let y=g(x)
So, 

Notice that x in the exponent is multiplied by -1. Multiplying x by -1 implies the reflection of the graph across y-axis.
The function value is multiplied by 3. This suggest a vertical expansion by a factor of 3.
2 is being added to the function value, this implies a vertical shift upwards by 2 units.
So, we can write:
y = g(x) = 3f(-x) + 2
Thus following translations are applied:
a) Reflection across y-axisb) Vertical stretch by a factor of 3c) Upward shift by 2 units
 
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