Find a Quadratic Model for the Sequence with the Indicated $$a _ { 0 } = 7 , a _ { 2 } = 3 , a _ { 5 } = 12$$

Multiple Choice

Find a quadratic model for the sequence with the indicated terms.
$$a _ { 0 } = 7 , a _ { 2 } = 3 , a _ { 5 } = 12$$

A) $a _ { n } = n ^ { 2 } + 7$
B) $a _ { n } = n ^ { 2 } - 4 n + 7$
C) $a _ { n } = n ^ { 2 } - 7 n + 7$
D) $a _ { n } = n ^ { 2 } - 7 n + 4$
E) $\quad a _ { n } = n ^ { 2 } - n + 7$