chen final vid formulas

vertex form of quadratic function (transformation)

y = a (x-h)² + k

one cycle test for cos x and sin x

greater than or equal to 0, less than or equal to 2

one cycle for tan x

greater than or equal to negative pi over 2, less than or equal to pi over 2

equation of a circle

(x-h)²+(y-k)²=r²

ellipse equation

(x-h)²/a² + (y-k)²)/b²=1

hyperbola equation

(x-h)²/a² - (y-k)²/b²=1

compounded periodically

A(t) = P(1 + r/n)^nt

component continuously

A(t)=Pe^rt

arithmetic sequence

A sub n = a sub 1 + (n-1) x d(difference)

sum of arithmetic sequence

S sub n = n/2 (a sub 1 plus a sub n)

Geometric Sequence

sum of geometric sequence

arc length

area of sector

angular velocity

linear velocity (define all variables)