Standard Forms (p.1)

  1. Straight Line
    Ax + By + C = 0
  2. Parallel Lines
    Image Upload 1
  3. Perpendicular Lines
    Image Upload 2
  4. Ordered Pairs
    eg. Image Upload 3
  5. Function Notation
    eg. Image Upload 4
  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 5
    Image Upload 6

    (cannot be negative!)
  8. rule for fraction functions
    eg. Image Upload 7
    denominator cannot be 0! (solve for x)
  9. LINEAR
    eg. Image Upload 8 OR Image Upload 9
    diagonal!
  10. CONSTANT
    eg. Image Upload 10 OR Image Upload 11
    straight horizontal line
  11. QUADRATIC
    eg. Image Upload 12
    parabola!
  12. CUBIC
    eg. Image Upload 13
    squiggly diagonal!
  13. ABSOLUTE VALUE
    eg. Image Upload 14
    straight V shape!
  14. SQUARE ROUTE
    eg. Image Upload 15
    half of sideways parabola!

    (hill)
  15. CIRCLE
    eg. Image Upload 16 OR Image Upload 17
    well, a circle.
  16. SEMI-CIRCLE
    eg. Image Upload 18 or Image Upload 19
    semi-circle.
  17. when is a function increasing?
    when Image Upload 20 whenever Image Upload 21.
  18. What happens to a quadratic Image Upload 22 formation when...


    Image Upload 23
    the VERTEX moves up 1
  19. What happens to a quadratic formation when...

    Image Upload 24
    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 25.

    what is the VERTEX form?
    • vertex form:
    • Image Upload 26
  22. what happens to range and domain when a function has Image Upload 27 or Image Upload 28?
    • 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 29 and apply it to the 2?
    • it becomes
    • Image Upload 30 (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 31 to vertex form Image Upload 32?
    complete the square!

    so... Image Upload 33
  26. how do you find the vertex from Image Upload 34 form?
    Image Upload 35
Author
Anonymous
ID
199775
Card Set
Standard Forms (p.1)
Description
standard forms algebra
Updated