The perimeter of a shape will always be greater then the area of the shape

Not necessarily. For example, you can have a rectangle whose dimensions are 12 and 6. Length is 12 and 6 is the width.

The area (length × width) of the rectangle will be 72.

The perimeter of the rectangle (2l + 2w) will be 36.

So, in this case, the area was double the perimeter and the perimeter was not greater than the area of the shape.

 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.