Algebra II Notes

 

Factoring 

 
  • No fractions involved so get rid of them
  • Form for factoring:
  • (___ + ___) (___ -___)
  • FOIL to undo factoring 
 

Thumb method:

 
  • ex: y+4x=12
  • to look for y cover x
  • y +       =12
  • y=12
  • same when you're looking for x, just cover y

New mentality: take notes when you're supposed to and do what you're supposed to do.

STAT EDIT L1 is x and L2 is Y STAT CALC 4 ENTER  for slope= 0 if 0/n

undefined line: vertical and looks like n/0

STAT EDIT 5 if you lose where you're @ w/0 calc. make this chart and use any #'s for x and graph yourself

 

 

 

Slopes

 
  • slope= change of y/ change of x 
  • y=1/x
  • RATIONAL LINES- do not touch the x It does touch the y somewhere
  • slope is the change of y over the change of x for LOG on the calc: MATH ALPHA A the LOG KEY doesn't let you change the base so it goes by the counting system 
  • counting system based on: 10 because it changes
2

How to use box function

 
  • ZOOM ENTER move cursor left and down hit enter again and move the cursor. It should start making a box keep making this box and blowing it up bigger to see how close it is to the Y. 
  • This is important to find the last absolute value in money, etc. THE LIMITS!
  • Keep parent functions take it to college.
 

Imaginary numbers

 
  • i=imaginary unit
  • anything to the zero power is 1
  • i^1= i
  • i^2=-1
  • i^3=-i
  • i^4=1
  • by definition: ixi is -1 It keeps cycling as the numbers get higher.
  • for i^501 write as two numbers because it's not a multiple of 4 so you can't do it that simply 
  • if there's not a perfect squre find common multiples

 

2

Quadratic Equations

 
  • vertex form: y=a(x-h)^2+k
  • you are given the h and the k because they are the vertex.
  • any other point is the (x,y) that you plug into the equation
  • know your variables: a, h and k
  • parabola is negative/positive depending on if it's opening up or down. (down is negative, up is positive)
  • standard form: ax^2+bx+c=0
  • 2nd calc 2 to find the zeros of the quadratic equation
  • get as close to the line as you can when finding the zeros
 
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