-
Order of factoring
Putting INTO bubbles:
- -GCF
- -DOTS
- -Trinomial
- -Sum/Diff of Two Cubes
- -Grouping
- -Check Again
-
difference of two squares
u^2 - v^2 = (u+v)(u-v)
-
perfect square trinomial
u^2 + 2uv + v^2 = (u+v)^2
-
test for perf. square tri
b = 2 rad(a) rad(c)
-
sum/diff two cubes
(u^3 + v^3) = (u+v)(u^2 - uv + v^2)
(u^3 - v^3) = (u-v)(u^2 + uv + v^2)
-
simplifying
taking out of bubbles into larger form
-
square of a binomial
- (u+v)^2 = u^2 + 2uv + v^2
- square double square
-
cube of a binomial
(u+v)^3 = u^3 + 3(u^2)v + 3u(v^2) + v^3
-
vertex of a parabola
(-b/2a, f(-b/2a))
-
x-int and y-int
- x-int (a,0) because y=0
- y-int (0,a) because x=0
-
form for a circle
(x-h)^2 + (y-k)^2 = r^2
-
symmetries
- x-axis: (x,y) -> (x,-y)
- y-axis: (x,y) -> (-x,y)
- origin: (x,y) -> (-x,-y)
-
order of transformations
- Horizontal Shift
- Reflection
- Stretch/Compression
- Vertical Shift
- (ABC Order)
-
direct and inverse
- direct: kx=y
- inverse: xy=k
- always assume direct
-
standard form of a quadratic
- f(x) = a(x-h)^2 + k
- Vertex is (h,k)
|
|
