Answer:
A. Absolute value.
Step-by-step explanation:
We are asked to determine the type of function, if it is symmetric over the line [tex]x=2[/tex].
We know that a line of form [tex]x=a[/tex] represents an equation of a vertical line that crosses x-axis at point [tex](2,0)[/tex] parallel to y-axis.
We know that a cubic function is symmetric about origin, while an exponential function has no symmetry.
A rational function is not necessarily symmetric to y-axis.
We know that an absolute value function is symmetric about y-axis, so our given function will be symmetric to the line [tex]x=2[/tex] and option A is the correct choice.
