Question

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

Answer 1

Given: A function G(x)

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

Required: To shift the given function 4 units to the left and 4 units up.

Explanation: To shift a function G(x), 4 units to the left we add 4 in the function's paranthesis-

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

Now to shift this function 4 units up we add 4 outside the function i.e.,

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

Final Answer: After shifting the new function is-

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