Question

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

Answer 1

Given: A function

`G(x)=(1)/(x)`

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

Step-by-step 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-

`G(x)=(1)/(x+4)+4`

Final Answer: Option A is correct.