From the given graph, we can deduce the following:
The graphed function shown is a polynomial function.
The parent function has a graph where the vertex of the parabola is at the origin.
From the given graph, we can see the parabola makes a downward move. This means there is a vertical downward translation from the parent function.
For a vertical downward translation of b units we have:
f(x) - b
The parabola makes a slight move to the left.
For a translation c to the left, we have:
f(x - c) - b
Therefore the function which could have created the graph is:
[tex]f(x)=x^4+2x-2[/tex]
ANSWER: A
[tex]f(x)=x^{4}+2x-2[/tex]
