No fake answers please, or i will report idc

but which graph(s) are right?

The fourth graph shows a function

Explanation: It passes the vertical line test

The lower right graph

Step-by-step explanation:

A function has only one output for every input. In graph form there can only be one x value. The best way to tell when looking at a graph is to draw a vertical line. If that line hits two or more points on the graph it is not a function. Say you select the x value of 2 to draw your line. You’ll see in 3 of the 4 graphs your vertical line goes through 2 or more points whereas for the lower right graph your vertical line does not have more than one point on the graph.

 The correct option is (B) left 1 unit.

Step-by-step explanation:  We are given to select the translation that maps the vertex of the graph of the function onto the vertex of the function

We have

We know that the vertex form of a function is given by

where the vertex is the point (h, k).

So, the vertex form of f(x)

where the vertex is (0, 0).

And, the vertex form of g(x) is

where the vertex is (-1, 0).

The required translation from the vertex of f(x) to the vertex of g(x) is

(0, 0)  ⇒  (0-1, 0) = (-1, 0).

Thus, the vertex of f(x) is translated 1 unit left to get the vertex of g(x).

Option (B) is CORRECT.