parabola: set of all points in a plane that are the same distance from a fixed line & a fixed...
TRANSCRIPT
10.2 PARABOLAS
Definitions
Parabola: set of all points in a plane that are the same distance from a fixed line & a fixed point not on the line
Focus: that fixed point; lies on the axis of symmetry
Directix: that fixed line; perpendicular to the axis of symmetry
Vertex: lies halfway between the focus & directix
Recall
In chapter 5, all parabolas opened up or down with a vertical axis of symmetry
Look at bottom of page 595 togeter
Standard Equation of Parabola with vertex at origin
Equation Focus Directix Axis of Sym.
Opens
Vertical Up or Down
Horiz. Left or Right
2 4x py
2 4y px
y p 0, p
,0p x p
0x
0y
Examples
Identify the focus & directix of the parabola given by . Draw the parabola
Write the equation of the parabola show
HW: p598-599 #16-37all, 38-76even
23
4x y