Precalc Midterm

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  1. Order of factoring
    Putting INTO bubbles:

    • -GCF
    • -DOTS
    • -Trinomial
    • -Sum/Diff of Two Cubes
    • -Grouping
    • -Check Again
  2. difference of two squares
    u^2 - v^2 = (u+v)(u-v)
  3. perfect square trinomial
    u^2 + 2uv + v^2 = (u+v)^2
  4. test for perf. square tri
    b = 2 rad(a) rad(c)
  5. sum/diff two cubes
    (u^3 + v^3) = (u+v)(u^2 - uv + v^2)

    (u^3 - v^3) = (u-v)(u^2 + uv + v^2)
  6. simplifying
    taking out of bubbles into larger form
  7. square of a binomial
    • (u+v)^2 = u^2 + 2uv + v^2
    • square double square
  8. cube of a binomial
    (u+v)^3 = u^3 + 3(u^2)v + 3u(v^2) + v^3
  9. vertex of a parabola
    (-b/2a, f(-b/2a))
  10. x-int and y-int
    • x-int (a,0) because y=0
    • y-int (0,a) because x=0
  11. form for a circle
    (x-h)^2 + (y-k)^2 = r^2
  12. symmetries
    • x-axis: (x,y) -> (x,-y)
    • y-axis: (x,y) -> (-x,y)
    • origin: (x,y) -> (-x,-y)
  13. order of transformations
    • Horizontal Shift
    • Reflection
    • Stretch/Compression
    • Vertical Shift
    • (ABC Order)
  14. direct and inverse
    • direct: kx=y
    • inverse: xy=k
    • always assume direct
  15. standard form of a quadratic
    • f(x) = a(x-h)^2 + k
    • Vertex is (h,k)
Author:
heats800
ID:
314630
Card Set:
Precalc Midterm
Updated:
2016-01-24 23:16:44
Tags:
precalc
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Precalc Midterm
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