Issue 25: Analytical Geometry (Alg 2/Trig)

It's been a long time since I updated.

Well, I created one for Alg 2/ Trig.

This time I have some problems using equations in google doc/word so I had to create a website.

It's a crappy website I made in 10 minutes, don't complain. 

https://sites.google.com/site/amuletterei/nyan-cat-express-review

The link, Test 23 is there.
Images don't show up... They are important images. Teaches you a lot.
But I'll still tell you ppl when It's updated okay :D

Analytic Geometry:

The Circle

The Parabola

The Ellipse

Transformations of Ellipse

Hyperbola and its transformations

Identifying Conic Sections

To review:

Distance and Midpoint Formulas

-Pythagorean Theorem:

If the length of the hypotenuse of a right triangle is c, and the lengths of the other two sides (legs) are a and b, then .

-Converse of the Pythagorean Theorem:

 If the lengths a,b, and c of the sides of a triangle satisfy the equation c²=a² + b²then the triangle is a right triangle and c is the hypotenuse

-Distance Formula

The Distance between the points P₁( x₁ , y₁ )² and P₂( x₂ , x₂ )²

P₁P₂=

-The Midpoint Formula

The midpoint of the line segment joining P₁( x₁ , y₁ )² and P₂( x₂ , x₂ )² is

-Circles

Conic Sections (Conics): Plane curves with 2nd degree equations

Circle: the set of all points in a plane that are a fixed distance, called the radius, from a fixed point, called the center

Equation of a circle: The circle with center (h,k) and radius r has the equation

Sliding a graph to a new position is called a translation.

-Parabolas

A parabola is the set of all points equidistant from a fixed line, called the directrix and a fixed point not on the line called the focus.

-Ellipse

Each of the fixed points is called a focus (plural: foci) of the ellispe. If the foci are F₁ and F₂, then for each point P of the ellipse, PF₁ and PF₂ are the focal radii of P.

The center of an ellipse is the midpoint of the line segment joining the foci. The major axis of an ellispe is the chord passing through its foci. The minor axis is the cord containing the center and perpendicular to the major axis.

 

Hyperbola

The set of all points P in the plane such that the difference between the distances from P to two fixed points is a given constant.

Focus: The fixed points

Focal Radii: PF₁ and PF₂