Question

The graph of g(x) = 1/(x-3) + 8 is shifted ___ units to the ___ and ___ units ____ from the parent function f(x) = 1/x.

A. 3 units to the right, 8 units up
B. 3 units to the left, 8 units down
C. 3 units to the left, 8 units up
D. 3 units to the right, 8 units down

Answer 1

The graph of the function g(x) = 1/(x-3) + 8 is shifted 3 units to the right and 8 units up from the parent function f(x) = 1/x.

Step-by-step explanation:

The graph of the function g(x) = 1/(x-3) + 8 is shifted 3 units to the right and 8 units up from the parent function f(x) = 1/x.

To shift the graph of a function, we add or subtract values from the original function. In this case, we added 3 to the x-coordinate (to the right) and added 8 to the y-coordinate (up).

Therefore, the correct answer is A. 3 units to the right, 8 units up.