Standard Forms (p.1)

  1. Straight Line
    Ax + By + C = 0
  2. Parallel Lines
    Image Upload 2
  3. Perpendicular Lines
    Image Upload 4
  4. Ordered Pairs
    eg. Image Upload 6
  5. Function Notation
    eg. Image Upload 8
  6. differentiate FUNCTION and RELATION
    • Function: 1x for 1y
    • Relation: 1x for 2 ys

    a function is a rule that associates 1 x to 1 y.
  7. rule for square route functions
    eg. Image Upload 10
    Image Upload 12

    (cannot be negative!)
  8. rule for fraction functions
    eg. Image Upload 14
    denominator cannot be 0! (solve for x)
  9. LINEAR
    eg. Image Upload 16 OR Image Upload 18
    diagonal!
  10. CONSTANT
    eg. Image Upload 20 OR Image Upload 22
    straight horizontal line
  11. QUADRATIC
    eg. Image Upload 24
    parabola!
  12. CUBIC
    eg. Image Upload 26
    squiggly diagonal!
  13. ABSOLUTE VALUE
    eg. Image Upload 28
    straight V shape!
  14. SQUARE ROUTE
    eg. Image Upload 30
    half of sideways parabola!

    (hill)
  15. CIRCLE
    eg. Image Upload 32 OR Image Upload 34
    well, a circle.
  16. SEMI-CIRCLE
    eg. Image Upload 36 or Image Upload 38
    semi-circle.
  17. when is a function increasing?
    when Image Upload 40 whenever Image Upload 42.
  18. What happens to a quadratic Image Upload 44 formation when...


    Image Upload 46
    the VERTEX moves up 1
  19. What happens to a quadratic formation when...

    Image Upload 48
    see what makes x = 0.

    that number is the vertex. (eg, x = +2)
  20. how to find y-int of a function?
    let x = 0
  21. the standard form of a quadratic function is Image Upload 50.

    what is the VERTEX form?
    • vertex form:
    • Image Upload 52
  22. what happens to range and domain when a function has Image Upload 54 or Image Upload 56?
    • solve it normally, it makes no difference.
    • (except with 3 the numbers can stay negative)
  23. what happens when you take the squared off of Image Upload 58 and apply it to the 2?
    • it becomes
    • Image Upload 60 (if you make it your own square route)
  24. how do you find the MAX or MIN of a function?
    take the Y value at its max or minimum point. eg,  y = -8.
  25. how do you go from standard form Image Upload 62 to vertex form Image Upload 64?
    complete the square!

    so... Image Upload 66
  26. how do you find the vertex from Image Upload 68 form?
    Image Upload 70
Author
Anonymous
ID
199775
Card Set
Standard Forms (p.1)
Description
standard forms algebra
Updated