A Conic Has Equation $32 x ^ { 2 } + 48 x y + 18 y ^ { 2 } - 14 x + y - 25 = 0$

Essay

A conic has equation $32 x ^ { 2 } + 48 x y + 18 y ^ { 2 } - 14 x + y - 25 = 0$ .
(a) Use the discriminant to identify the conic.
(a) by graphing the conic with a graphing calculator.
(b) Confirm your answer in part
(c) Find the angle necessary to eliminate the $x y$ - term.