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pulidoshorty
24.06.2020 •
Mathematics
The parent function is f(x) = 2^x-6 + 3 and the new function is g(x) = 2^x-3 + 2
How does the graph change fromf (x)tog(x)?
Select each correct answer.
The graph is shifted 3 units right.
The graph is shifted 1 unit up.
The graph is shifted 1 unit down.
The graph is shifted 3 units left.
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Ответ:
Options C and D.
Step-by-step explanation:
The given functions are
We need to find the transformation from f(x) to g(x).
Now, write the function g(x) in the form of f(x).
The translation is defined as
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (1) and (2), we get
Therefore, the correct options are C and D.
Ответ: