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) - $\frac { 2 } { 3 }$ $( x - a ) ^ { 2 }$

Question

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) - $\frac { 2 } { 3 }$ $( x - a ) ^ { 2 }$

Quizplus · Accepted Answer

The Answer of 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) - $\frac { 2 } { 3 }$ $( x - a ) ^ { 2 }$

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

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