Standard Forms (p.1)

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Anonymous
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199775
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Standard Forms (p.1)
Updated:
2013-02-11 16:22:25
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standard forms algebra
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standard forms algebra
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  1. Straight Line
    Ax + By + C = 0
  2. Parallel Lines
  3. Perpendicular Lines
  4. Ordered Pairs
    eg.
  5. Function Notation
    eg.
  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.


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

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


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

    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 .

    what is the VERTEX form?
    • vertex form:
  22. what happens to range and domain when a function has or ?
    • 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 and apply it to the 2?
    • it becomes
    • (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 to vertex form ?
    complete the square!

    so...
  26. how do you find the vertex from form?

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