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

Answer:

Option C will be the new equation.

Step-by-step 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 $g(x)=\frac{1}{x}$

Now the new function will become as $g(x)=\frac{1}{x+3}+3$

Therefore Option C will be the correct option.

Answer 2

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