Use the Gradient to Find a Normal Vector to the Graph

Multiple Choice

Use the gradient to find a normal vector to the graph of the equation at the given point. $$2 x ^ { 2 } - y = 8 , \quad ( 6,64 )$$

A) $24 \hat { \mathbf { i } } + \hat { \mathbf { j } }$
B) $24 \hat { \mathbf { i } } - \hat { \mathbf { j } }$
C) $- 24 \hat { \mathbf { i } } - 64 \hat { \mathbf { j } }$
D) $- 24 \hat { \mathbf { i } } - \hat { \mathbf { j } }$
E) $24 \hat { \mathbf { i } } + 64 \hat { \mathbf { j } }$