What is the effect on the graph of f(x) = 1/x when it is transformed to g(x) = 1/x + 9?
Answers
Answer:
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Given : f(x) = 1/x
To Find : effect on the graph when it is transformed to
g(x)= 1/(x + 9)
g(x) = 1/x + 9
Solution:
The graph of f(x-k) is a horizontal translation of the graph of f(x) ,
For , k > 0 the graph is shifted right and for k < 0 the graph is shifted left.
f(x) = 1/x
g(x) = 1/(x + 9)
= 1/(x -(-9))
= 1/f(x - (-9))
Shift of -9 on the domain.
Hence Graph is shifted to 9 unit on the left side ( Horizontal Translation )
The graph of f(x) + k is a horizontal translation of the graph of f(x) ,
For , k > 0 the graph is shifted up and for k < 0 the graph is shifted down
g(x) = 1/x + 9
= f(x) + 9
Shift of 9 on the range
Hence graph is shifted to 9 units upward ( vertical translation)
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