Below Is a Graph of Function F(x) $x = a ?$

Multiple Choice

Below is a graph of function f(x) . Which of the following could be the second Taylor polynomial of f(x) at $x = a ?$

A) $\mathrm { P } 2$ (x) = $\frac { 13 } { 3 }$ + $\frac { 5 } { 3 }$ (x - a)
B) $\mathrm { P } 2$ (x) = $\frac { 13 } { 3 }$ + $\frac { 2 } { 3 }$ $( x - a ) ^ { 2 }$
C) $\mathrm { P } 2$ (x) = $\frac { 13 } { 3 }$ - $\frac { 2 } { 3 }$ $( x - a ) ^ { 2 }$
D) $\mathrm { P } 2$ (x) = $\frac { 13 } { 3 }$ - $\frac { 5 } { 3 }$ (x - a) + $\frac { 2 } { 3 }$ $( x - a ) ^ { 2 }$
E) $\mathrm { P } 2$ (x) = $\frac { 5 } { 3 }$ (x - a) - $\frac { 2 } { 3 }$ $( x - a ) ^ { 2 }$