Which function is graphed below?

The function graphed below is or .

Step-by-step explanation:

The graph represents a second order polynomial function (a parabola), whose axis of symmetry is the x-axis and whose form is presented as follows:

Where:

, - Dependent and independent variable, dimensionless.

, - Horizontal and vertical components of the vertex, dimensionless.

- Vertex constant, dimensionless. If , then vertex is an absolute minimum, otherwise it is an absolute maximum.

After a quick observation, the following conclusions are done:

1) Vertex is an absolute minimum () and located at (-2, 0).

2) Parabola pass through (2, 2).

Then, the value of the vertex constant is obtained after replacing all known values on expression prior algebraic handling: (, , , )

The function is:

The inverse function of this expression is

The function graphed below is or .

c

step-by-step explanation: