Level 503
Level 505

#### 50 words 0 ignored

Ready to learn
Ready to review

## Ignore words

Check the boxes below to ignore/unignore words, then click save at the bottom. Ignored words will never appear in any learning session.

**Ignore?**

Conic Sections

Curves found by cutting a cone with a plane.

circle cut

if you slice the cone // to the base

ellipse cut

a cut at an angle that doesn't intersect with the base

four conic sections

circle, ellipse, parabola, hyperbola

circle definition

the set of all points on a plane such that each point is at a fixed distance (called a radius) from a fixed point (called the center)

Center

Each regular polygon has a center because it can be inscribed in a circle.

R

radius

standard form of a circle

(x-h)² + (y-k)² = r²

midpoint formula

(x₁+x₂)/2, (y₁+y₂)/2

Tangent

tanx=Opp/Adj=y/x

and

When solving an absolute value INEQUALITY, if the original problem has a less than symbol, what type of compound inequality is it?

or

≥

ellipse definition

the set of all points on a plane such that the sum of the distances from the two fixed points (called the foci- singular focus) is constant.

PF1 + PF2

the length of a string. constant. 2a

c

distance from center to focus.

(x-0)²/a² + (y-0)²/b² = 1

standard form of the equation of an ellipse with the center (0,0) with a horizontal major axis

±a

x intercept (of horizontal ellipse with (0,0)

±b

y intercept (of horizontal ellipse with (0,0)

(±a, 0)

vertices (of horizontal ellipse with (0,0)

(0, ±b)

co-vertices (of horizontal ellipse with (0,0)

(±c, 0)

foci (of horizontal ellipse with (0,0)

Eccentricity

c/a

b²=a²-c²

finding a, b or c

what eccentricity is

the distance from c to a

2a

length of major axis

2b

length of minor axis

the foci always lie

on the major axis

the eccentricity must be

less than one and greater than zero

the more circular the ellipse

the closer e is to zero

the flatter the ellipse

the closer e is to one

(h±a,k)

vertices in a horizontal ellipse with center (h,k)

(h,K±b)

covertices in a horizontal ellipse with center (h,k)

(h±c,k)

foci in a horizontal ellipse with center (h,k)

(h,k±a)

vertices in a vertical ellipse with center (h,k)

(h±b,k)

covertices a vertical ellipse with center (h,k)

(h,k±c)

foci a vertical ellipse with center (h,k)

(x-h)²/a² + (y-k)²/b²

Conic Form Horizontal Ellipse

(x-h)²/b² + (y-k)²/a²

Conic Form Horizontal Ellipse

(h±a,k)

Major Vertex Horizontal

(h,k±a)

Major Vertex Vertical

(h,K±b)

Minor Vertex Horizontal

(h±b,k)

Minor Vertex Vertical

(h±c,k)

Horizontal Foci

(h,k±c)

Vertical Foci

(x-h)²/a² - (y-k)²/b²

Conic Form Horizontal Hyperbolas

(y-k)²/a² - (x-h)²/b²

Conic Form Vertical Hyperbolas

y=±b/a

Horizontal Asymptote

y=±a/b

Vertical Asymptote

(h±a,k)

Horizontal Vertices Hyperbola

(h,k±a)

Vertical Vertices Hyperbola