# Identifying conic sections from their expanded equations

3 videos

Learn how to analyze expanded equations in order to determine which kind of conic section they represent.

### Conic section from expanded equation: circle & parabola

VIDEO
11:34 minutes

Sal manipulates the equation x^2+y^2-3x+4y=4 in order to find that it represents a circle, and the equation 2x^2+y+12x+16=0 in order to find it represents a parabola.

### Conic section from expanded equation: ellipse

VIDEO
9:11 minutes

Sal manipulates the equation 9x^2+4y^2+54x-8y+49=0 in order to find that it represents an ellipse.

### Conic section from expanded equation: hyperbola

VIDEO
11:28 minutes

Sal manipulates the equation 4y^2-50x=25x^2+16y+109 in order to find that it represents a hyperbola.