How to graph y=2-sqrt(x-2)?

Hector Arias

Hector Arias

Answered question

2023-03-20

How to graph y = 2 - x - 2 ?

Answer & Explanation

tambulloc5dn

tambulloc5dn

Beginner2023-03-21Added 8 answers

Given a function g ( x ) , to get the graph of y = g ( x - 2 ) you should shift the graph of y = g ( x ) to the right by 2 units. To obtain the graph of y = - g ( x - 2 ) you should reflect the graph of y = g ( x - 2 ) across the x -axis. Finally, to get the graph of y = 2 - g ( x - 2 ) you should shift the graph of y = - g ( x - 2 ) up by 2 units.
You can also plot some points to help. Let f ( x ) = 2 - x - 2 . Then f ( 2 ) = 2 - 0 = 2 , f ( 3 ) = 2 - 1 = 1 , f ( 4 ) = 2 - 2 0.59 , f ( 5 ) = 2 - 3 0.27 , f ( 6 ) = 2 - 4 = 0 , f ( 7 ) = 2 - 5 - 0.24 , etc...
graph{2-sqrt(x-2) [-1, 10, -2.5, 2.5]}

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