The graph of Fx), shown below, resembles the graph of G(X) = x?, but it has
been changed somewhat. Which of the following could be the equation

Step-by-step explanation:

Since we are not given any options so we will start with the general case.

The equation of such a graph can be modeled as

This graph is symmetrical around the origin, but in the attached diagram, the graph is shifted in the x-axis as well as in the y-axis,

Where the variable a shifts the graph to the right of x-axis when a is positive, when it is negative it shifts the graph to the left that is negative x-axis.

The variable b shifts the graph upward in the positive y-axis when b is positive, when it is negative it shifts the graph to the bottom that is negative y-axis.

Since in the attached diagram, the graph is in the positive x-axis and y-axis, therefore, a and b must be positive and can be estimated as

The graph of the above expression is attached and it looks very similar to the given graph.