Question

If G(x)=1/x were shifted 3 units to the left and 3 units up, what would the new equation be?

Answer 1

G(x)=1/x were shifted 3 units to the left and 3 units up
should be

G(x)=[1/(x +3)] + 3

answer is C. third choice

Answer 2

Option C will be the new equation.

Explanation:

If a function is the form of f(x) = ax

and we know when a function is shifted left by b then variable x becomes [x - (-b)] and if the this function is shifted upwards by c then it gets the form of

f(x) = a(x + b) + c

Similarly in the given question parent function is shifted left by 3 and up by 3 units.

And the parent function is
`g(x)=(1)/(x)`

Now the new function will become as
`g(x)=(1)/(x+3)+3`

Therefore Option C will be the correct option.