Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
46 Cards in this Set
- Front
- Back
- 3rd side (hint)
|
Parent Function: Linear
|
y=f(x)= x
|
|
|
|
Parent Function: Quadratic
|
y=f(x)=x^2
|
|
|
|
Parent Function: Cubic
|
y=f(x)=x^3
|
|
|
|
Parent Function: Square Root
|
y=f(x)=□x
|
|
|
|
Slope Intercept Form
|
y=mx+b
|
|
|
|
Point- Slope Form
|
m=y2-y1/x2-x1
|
|
|
|
Horizontal Reflection: f(x)
|
f(-x)
|
|
|
|
Vertical Reflection: f(x)
|
-f(x)
|
|
|
|
Horizontal Compression/Stretch: f(x)
|
f(1/b x)
Flip and put inside |
|
|
|
Vertical Compression/Stretch: f(x)
|
a×f(x)
Put on outside |
|
|
|
Interpolation
|
making a prediction with x value inside domain
|
on the line
|
|
|
Extrapolation
|
making a prediction with x value outide domain
|
off the line
|
|
|
Methods for Solving Linear Systems
|
Graphing, Substitution, Elimination
|
3 methods
|
|
|
Vertex Form
|
f(x)=a×(x-h)^2+k
|
|
|
|
Standard Form
|
y=ax^2+bx+c
|
|
|
|
Intercept/Factored Form
|
y=a(x-P)(x-q)
|
|
|
|
A.O.S.
|
x=-b/2a
|
A.O.S.=x
|
|
|
Complete the Square
|
(b/2)^2
|
formula
|
|
|
Values of I, I^2, I^3, I^4
|
i=□-1
i^2=-1 i^3=-i i^4=1 find nearest multiple then count to nearest goes counterclockwise |
|
|
|
Methods for Solving Quadratic Equations
|
quadratic formula, conpleting the square, square roots, graphing, factoring, difference of two squares, GCF
|
7 methods
|
|
|
Complex Numbers
|
a+bi
3+2i |
formula and example
|
|
|
Quadratic Formula
|
x=-b+- □b^2-4ac
2a |
|
|
|
Discriminant
|
b^2 -4ac
D>0 = 2 real D=0 = 1 real (Vertex) D<0 = 2 nonreal |
formula and number of roots
|
|
|
Complex Conjugate
|
i multiplied by -1
answer becomes real number |
|
|
|
Pythagorean Theorum: Distance From Origin to Point
|
|z|= □a^2+b^2
Ex: 2+2i a=2 b=2 |
|
|
|
Steps to Solve Quadratic Inequalities
|
1) Move all to one side, set equal to zero, and factor
2) Plot roots on number line and identity intervals 3) Plug in point from each to identity solution |
|
|
|
<,> in Graphs
|
dotted graph
open circle (parentheses) x<2= shade inside x>2= shade outside |
|
|
|
<_, >_ in Graphs
|
solid graph
closed circle [brackets] x<2= shade inside x>2= shade outside |
|
|
|
Add/Subtract Polynomials
|
combine like terms
|
|
|
|
Pascals Triangle
0-5 |
1
1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 |
|
|
|
SOAP
|
Same ,Opposite, AlwaysPositive
|
|
|
|
Sum of Cubes
|
a^3+b^3
(a+b)(a^2-ab+b^2) SOAP |
|
|
|
Difference of Cubes
|
a^3-b^3
(a-b)(a^2+ab+b^2) SOAP |
|
|
|
End Behavior
|
|
|
|
|
Sketching Roots of a Graph
|
x^1= cross
x^2,4,6,8= bounce x^3,5,7,9= cross with twist |
|
|
|
Rational Root Theorum
|
c/a= factors/factors
Test factors with synthetic division until remainder is 0 |
|
|
|
Multiplicity
|
repeated solutions
|
|
|
|
Volume
|
l×w×h
|
|
|
|
Standard Form Circle
|
(x-h)^2 + (y-k)^2 =r^2
(h,k) is center |
|
|
|
Distance Formula
|
|
|
|
|
Direct/Inverse Variation
|
Direct- y=ax (linear)
Indirect- y=a/x (hyperbola) |
|
|
|
Rational Function
|
y=a/x-h + k
|
|
|
|
H.A./V.A.
|
H.A.=y=k
V.A.=x=h |
|
|
|
Standard Form for Equation of a Parabola
|
|
|
|
|
Steps to Graph Rational Functions
|
1) Find H.A.
2) Find V.A. 3) Graph asymptotes and find 2 reference points 4) Sketch/graph |
|
|
|
Holes
|
Values of x crossed out after factoring
|
|
