Parabolas Flashcards
1
Q
What is a Parabola?
A
The Set of all Points P(x, y) in a Plane that are an equal Distance from both a Fixed Point, the Focus, and a Fixed Line, the Directrix.
2
Q
What is a Focus?
A
A Fixed Point.
3
Q
What is a Directrix?
A
A Fixed Line.
4
Q
What is the Distance Formula for Parabolas?
A
D=sqrt(((x-x1)^2)+((y-y1)^2))=sqrt(((x-x2)^2)+((y-y2)^2))
5
Q
What is the Form for the Equation of a Horizontal Parabola?
A
x=1/4py^2.
6
Q
What is the Form for the Equation of a Vertical Parabola?
A
y=1/4px^2.
7
Q
What is the Form for the Direction of a Parabola?
A
Horizontal: Opens right if p>0. Opens left if p<0.
8
Q
What is the Form for the Focus of a Parabola?
A
Horizontal: (p,0).
Vertical: (0,p).
9
Q
What is the Form for the Directrix of a Parabola?
A
Horizontal: x=-p. Vertical: y=-p.
