Write Equations of Rotated Conics in Standard Form
- $x^{2}+x y+y^{2}-3 y-6=0$

Multiple Choice

Write Equations of Rotated Conics in Standard Form
- $x^{2}+x y+y^{2}-3 y-6=0$

A) $\frac{\left(x^{\prime}-\frac{\sqrt{2}}{2}\right) ^{2}}{6}+\frac{\left(y^{\prime}-\frac{3 \sqrt{2}}{2}\right) ^{2}}{18}=1$
B) $y ^ { \prime 2 } = - 18 x ^ { \prime }$
C) $\frac { x ^ { \prime 2 } } { 6 } - \frac { y ^ { \prime 2 } } { 8 } = 1$
D) $\frac { x ^ { \prime 2 } } { 3 } + \frac { y ^ { \prime 2 } } { 4 } = 1$ )