Algebra 2: Conic Sections

Chapter 10

10-2 Parabolas

Write an equation given the focus and directrix.

Use the distance formula.

10-2 Parabolas

10-2 Parabolas

The most general form of a quadratic function is y= ax2

10-2 Parabolas

10-2 Parabolas

10-2 Parabolas

10-2 Parabolas

10-2 Parabolas

10-2 Parabolas

Complete the square to convert the equation into vertex form.

10-2 Parabolas

10-2 Parabolas

10-2 Parabolas

10-3 Circles

10-3 Circles

10-3 Circles

Complete the squares to convert equations to standard form.

1. x2 + y2 – 2x + 6y + 9 = 0

2. x2 + y2 -2x - 4y - 20 = 0

3. x2 + y2 – 4x + 8y + 16 = 0

10-3 Circles

Warm Up: Circles

Ellipses

Hyperbolas

Find the equation of the hyperbola

Identifying a Conic Section