prec cal unit 2 conics

hyperbola definition

a set of all points in a plane such that the absolute value of the difference from F1 and F2 is equal

parabola definition

set of all points are equidistance from a focus to a directrix

ellipse definition

set of all points where sum of each of the distances from focal points is d

circle definition

all points in a plane that are fixed distance from a fixed point

equation of a circle

(x-h)²+(y-k)²=r²

horizantal hyperbola equation

(x-h)²/a² - (y-k)²/b² =1

verticl hyperbola equation

(y-k)²/a² - (h-k)²/b² =1

horizantl parabola equaiton

(y-k)²=4p(x-h)

vertical parabola equation

(x-h)²=4p(y-k)

horizantal ellipse equaiton

(x-h)²/a² + (y-k)²/b²=1

verical ellipse eqution

(x-h)²/b² + (y-k)²/a²=1

which one is a vertical ellipse?

on the left

which one is a horizontal ellipse?

one on the right

which one is a vertical parabola

one on the left

which one is a horizontal parabola

one on the right

which one is a vertical hyperbola

one on the right

which one is a horizontal hyperbola

one on the left

what is the lacey’s rectum equal to?

4p and the focal diameter

what is p

the distance from the vertex to the focus

what is the directrix equation

x or y = h or k -p

what is the focus point for a horizontal parabola

(h+p,k)

what is the focus point for a vertical parabola

(h, k+p)

is 4p= a negative number

the parabola is facing downwards(vertical) or to the left(horizontal)

what are the vertices of a horizontal hyperbola

(h+-a,k)

what are the vertices of a vertical hyperbola

(h,k+-a)

what is c

the distance from the central to a focus point

what is the foci of a vertical hyperbola

(h,k+-c)

what are hr dock of a horizontal hyperbola

(h+-c,k)

what is eccentricity equal to

c/a

what is the ep major of a horizontal ellipse parallel to

the x axis

what is the ep minor of a horizontal ellipse parallel to

the y axis

what is the ep major of a vertical ellipse parallel to

the y axis

what is the ep minor of a vertical ellipse parallel to

the x axis

what is c²=a² - b² used for

ellipses

what is c²=a²+b² used for

hyperbolas