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Question 903304:  Explain how the graph of g is obtained from the graph of f. 
(1)    f(x) = √x,    g(x) = −√(x)+ 7
 
a. reflect about the x-axis, then shift down 7 units
 
b. reflect about the y-axis, then shift up 7 units 
     
c. shift up 7 units, then reflect about the x-axis
 
d. reflect about the x-axis, then shift up 7 units
 
e. reflect about the y-axis, then shift down 7 units
 
(2)    f(x) = √x,    g(x) = √(-x)+ 7
 
a. reflect about the y-axis, then shift down 7 units
 
b. reflect about the y-axis, then shift up 7 units 
     
c. reflect about the x-axis, then shift up 7 units
 
d. shift down 7 units, then reflect about the y-axis
 
e. reflect about the x-axis, then shift down 7 units
 
 
Please explain how this is solved Thank You! 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! Explain how the graph of g is obtained from the graph of f. 
 (1) f(x) = √x, g(x) = −√(x)+ 7  
a. reflect about the x-axis, then shift down 7 units  
b. reflect about the y-axis, then shift up 7 units 
c. shift up 7 units, then reflect about the x-axis  
d. reflect about the x-axis, then shift up 7 units  
e. reflect about the y-axis, then shift down 7 units 
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Ans: d 
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(2) f(x) = √x, g(x) = √(-x)+ 7  
a. reflect about the y-axis, then shift down 7 units  
b. reflect about the y-axis, then shift up 7 units 
c. reflect about the x-axis, then shift up 7 units  
d. shift down 7 units, then reflect about the y-axis  
e. reflect about the x-axis, then shift down 7 units  
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Ans: b 
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Cheers, 
Stan H. 
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