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If G(x) = 1/x were shifted 4 units to the left and 4 units up , what would the new equation be?

If Gx 1x Were Shifted 4 Units To The Left And 4 Units Up What Would The New Equation Be class=

Sagot :

Given: A function

[tex]G(x)=\frac{1}{x}[/tex]

Required: To determine the function's equation if G(x) is shifted 4 units to the left and 4 units up.

Explanation: The shifting of a function f(x) 'a' units to the left is f(x+c).

To shift a function f(x), 'b' units up is represented by adding 'b' to the function's value.

Hence, shifting the given function 4 units to the left and 4 units up is-

[tex]G(x)=\frac{1}{x+4}+4[/tex]

Final Answer: Option A is correct.