How does the graph of g (x) = StartFraction 1 Over x minus 5 EndFraction + 2 compare to the graph of the parent function f (x) = StartFraction 1 Over x EndFraction? g(x) is shifted 5 units left and 2 units up from f(x). g(x) is shifted 5 units right and 2 units up from f(x). g(x) is shifted 5 units left and 2 units down from f(x). g(x) is shifted 5 units right and 2 units down from f(x).

This question is based on the graph. Therefore, the correct option is (b), g(x) is shifted 5 units right and 2 units up from f(x).

Given:  Equation of graph is,

According to the question,

The attachment of graph is below.

Now, putting x = 0 in g(x) .

We get y = 1.8

Then, putting y = 0 in g(x).

We get, x = 5

Thus, the coordinates are (0, 1.8) and (5, 0).

Now putting x = 0 in f(x) .

We get,  y = not defined

Then, putting y = 0 in f(x).

We get, x = not defined

From the graph it is observed that,

The graph g(x) is shifted 5 units right and 2 units up from f(x).

Therefore, the correct option is (b), g(x) is shifted 5 units right and 2 units up from f(x).

For further details, prefer this link;

link

Option B, 5 units right, 2 units up.

Step-by-step explanation:

Graph both equations on a graphing calculator. It will look like this:

Just by looking at the graph and comparing, we can see that it is indeed translated 5 units right and 2 units up, or Option B.

c

step-by-step explanation:

correct

step-by-step explanation: