Conic Sections: Parabolas Honors Precalculus

Mr. Velazquez

1

Definition of a Parabola

2

Definition of a Parabola

3

Definition of a Parabola

4

2

Find the vertex and the axis of symmetry of the parabola given

by y 2( 3) 4. Does it open up or down?x

Parabolas in Standard Form

5

Parabolas in Standard Form

6

2

Find the focus and the directrix of the parabola given

by y 24 .x

Parabolas in Standard Form

7

Parabolas in Standard Form

8

Parabolas in Standard Form

9

2

Find the focus and the directrix of the parabola

given by x 4 .y

Parabolas in Standard Form

10

2

Find the focus and the directrix of the parabola

given by y 12 .x

Translations of Parabolas

11

Translations of Parabolas

12

Translations of Parabolas

13

Translations of Parabolas

14

Find the standard form of the equation of a parabola

with focus (0,3) and directrix of y=-1

x

y

Translations of Parabolas

15

2

Find the vertex, focus and directrix of the parabola

given by (x-3) 8( 1).y

x

y

Translations of Parabolas

16

2

Find the vertex, axis, focus, and directrix of the parabola

by completing the square on the equation

8y=2x 12 14.x

Exit Ticket: Parabolas

Graph the following pair of parabolas on the same set of coordinate axes; label each graph with its corresponding standard form equation, the focus, latus rectum, and directrix for both parabolas.

17