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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By yessyyyyy17
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