Question

If G(x) =1/x were shifted 2 units to the left and 2 units up, what would the new equation be? A. G(x)=1/x-4 B. G(x)=1/(x-2)+2 C. G(x)=1/(x+2)+2 D. G(x)=1/x+4

Answer 1

2 units left would replace the x by (x+2)
2 units up will add 2
so the new equation is
g(x) = 1 /(x+2) + 2 C

Answer 2

New equation would be G(x) =
`(1)/(x+2)+2`.

Explanation:

Given : G(x)=
`(1)/(x)` were shifted 2 units to the left and 2 units up,

To find : what would the new equation be.

Solution : We have given that G(x)=
`(1)/(x)` .

By the transformation rule : graph of f(x) would shifted left by h unit when f(x+2) and shifted up k unit if f(x) +k.

Then G(x) =
`(1)/(x+2)+2`.

Therefore, New equation would be G(x) =
`(1)/(x+2)+2`.