Find a Quadratic Model for the Sequence with the Indicated $- \frac { 35 } { 6 }$

Multiple Choice

Find a quadratic model for the sequence with the indicated terms. ​
A₀ = 4,a₂ = 0,a₆ = 38
​

A) an = -4n² $- \frac { 35 } { 6 }$ n + $\frac { 23 } { 12 }$
B) a_n = $\frac { 23 } { 12 }$ n² $- \frac { 35 } { 6 }$ n - 4
C) ​an = 4n² $- \frac { 35 } { 6 }$ n + $\frac { 23 } { 12 }$
D) ​an = $- \frac { 35 } { 6 }$ n² + $\frac { 23 } { 12 }$ n - 4
E) ​an = $\frac { 23 } { 12 }$ n² $- \frac { 35 } { 6 }$ n + 4