Use the Discriminant $B^{2}-4 A C$ To Determine If $3 x^{2}-12 x y+4 y^{2}+x-5 y-4=0$

question 29

Short Answer

Use the discriminant $B^{2}-4 A C$ to determine if $3 x^{2}-12 x y+4 y^{2}+x-5 y-4=0$ is an ellipse, a parabola, or a hyperbola.

---

Definitions:

Interpretation

In therapy, the act of a therapist explaining or providing insight into aspects of a client's thoughts, behaviors, or dreams to uncover underlying meanings.

Displacement

In psychology, a defense mechanism where an individual shifts emotional reactions from a real source of distress to a safer or more acceptable substitute.

Intense Reaction

A highly amplified emotional or physical response to a specific trigger or situation.

Projection

A defense mechanism where an individual attributes their own unacceptable thoughts, feelings, or motives to another person.