Without graphing, what is the transformation that takes place between the graph y=1/x and the graph of y=1/(x+5)−2?

Audrey Mckee

Audrey Mckee

Answered question

2022-09-11

Without graphing, what is the transformation that takes place between the graph y = 1 x and the graph of y = 1 x + 5 - 2 ?

Answer & Explanation

enreciarpv

enreciarpv

Beginner2022-09-12Added 18 answers

Let f ( x ) = 1 x , and g ( x ) = 1 x + 5 - 2 . Then,
g(x)=f(x+5)−2.
Therefore, the graph of g is the graph of f, shifted 5 units to the left, and 2 units down.
In general, for any two functions f,g, if g(x)=f(x−a)+b, then
the graph of g is the graph of f shifted a units to the right, and b units upwards. Negative values mean opposite directions.

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