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Reciprocal parent function, F(x) = , right 4 units

2 Answers

3 votes
To shift a function f(x) to left or right, use the rule
g(x)=f(x-h)
where g(x) is the result of f(x) shifted h units to the right.
To shift 4 units to the right,
g(x)=f(x-4)
User Samuel Lampa
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6.1k points
1 vote

We are given : Reciprocal parent function.

We know reciprocal parent function is given by
f(x)=(1)/(x)

It is said transformation of 4 units right.

We know function rule

To shift a function f(x) to left or right, use the rule

g(x)=f(x-h), where h is a positive number.

It's 4 unit right so, we need to substitute x=(x-4) in the reciprocal parent function.

We get transformed function


f(x)=(1)/(x-4).


User Papaya
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5.1k points