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Given that (-2,3) is on the graph of y=f(x), find a point on the graph of y=f(2x+1)+3. Express your answer as an ordered pair (a,b) where a and b are real numbers.

 Mar 16, 2019
edited by dierdurst  Mar 16, 2019
 #1
avatar+111394 
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The graph   of  f(2x + 1) + 3  will shift  all the original points on f(x)  to the left by -1/2  units and up 3 units

 

So

 

(-2, 3)    will become  (- 2 - 1/2, 3 + 3)  =  ( -5/2, 6 )

 

EDIT TO CORRECT A PREVIOUS ERROR  !!!

 

 

cool cool cool

 Mar 16, 2019
edited by CPhill  Mar 16, 2019
 #2
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Thank you! I think you made a slight mistake because we have (-2,3) instead of (2,3). Regardless, thank you for your help!

 

-Daisy

dierdurst  Mar 16, 2019
 #3
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Thanks, Daisy.....I made the correction....!!!!

 

cool coolcool

CPhill  Mar 16, 2019
 #4
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No problem! 

 

-Daisy

dierdurst  Mar 16, 2019

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