Find the Unit Vectors That Are Parallel to the Tangent $y = 2 x ^ { 2 }$

Multiple Choice

Find the unit vectors that are parallel to the tangent line to the curve $y = 2 x ^ { 2 }$ at the point $( 2,8 )$ .

A) $\frac { \pm ( 2 \mathbf { i } - 8 \mathbf { j } ) } { 65 }$
B) $\frac { \pm ( 2 \mathbf { i } + 8 \mathbf { j } ) } { 65 }$
C) $\frac { \pm ( i + 8 j ) } { \sqrt { 65 } }$
D) $\frac { \pm ( \mathbf { i } + \mathbf { j } ) } { \sqrt { 65 } }$
E) $\frac { \pm ( \mathbf { i } - 8 \mathbf { j } ) } { 65 }$