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Parabolas:
A Vertical Parabola with vertex at Algebra Formulas Parabolas vertex h k.
  Parabola open upward if Algebra Formulas Parabolas a greater than zero. , downward if Algebra Formulas Parabolas a less than zero.
  Algebra Formulas Parabolas vertex form of a up down opening parabloa.
A Horizontal Parabola with vertex at Algebra Formulas Parabolas vertex h k
  Parabola open right if Algebra Formulas Parabolas a greater than zero. , left if Algebra Formulas Parabolas a less than zero.
  Algebra Formulas Parabolas vertex form of a left right opening parabloa.

Vertex of a parabola Algebra Formulas Parabolas vertex h k.
=
Algebra Formulas Parabolas the vertex formula.
Quadratic Formula:
  If Algebra Formulas Parabolas standard form of a parabola. , where /Algebra Formulas Parabolas a can not equal zero.
  Algebra Formulas Parabolas the quadratic equation.
 
Discriminant:
  If Algebra Formulas Parabolas discriminate greater than zero. two real solutions
  If Algebra Formulas Parabolas discriminate equals zero. one real solution (double solution)
  If Algebra Formulas Parabolas discriminate less than zero. two imaginary solutions
Circles:
A Circle with center at Algebra Formulas Parabolas vertex h k. and radius Algebra Formulas Circles r equals the radius.
  Algebra Formulas Circles the standard form of a circle.
Imaginary Numbers:
  Algebra Formulas Imaginary Numbers i. Algebra Formulas Imaginary Numbers i squared. Algebra Formulas Imaginary Numbers i cubed. Algebra Formulas Imaginary Numbers i to the fourth.
  If Algebra Formulas Parabolas a greater than zero. , then Algebra Formulas Imaginary Numbers the root of negative a.
Even and Odd Functions: (symmetry)
  If Algebra Formulas Functions determine if a function is even. the function is even
 
Even functions are symmetric to the Y-Axis
 
 
  If Algebra Formulas Functions determine if a function is odd.  the function is odd
 
Odd functions are symmetric to the Origin
 
 
  A function can be neither even or odd
Permutations and Combinations:
Algebra Formulas Premutation Formula 1.
Algebra Formulas Premutation Formula 2.
Algebra Formulas Combination Formula.

 

 

 

Asymptotes:
  Horizontal Asymptotes:  (exponents)
  Algebra Formulas Asymptotes numerator larger. (top is bigger) No  H. A.  
  Algebra Formulas Asymptotes numerator and denominator the same. (same)  use coef. Algebra Formulas Asymptotes y equals four divided by five.  
  Algebra Formulas Asymptotes denominator larger. (bottom is bigger) Algebra Formulas Asymptotes y can not equal zero.  
  Vertical Asymptotes
    (set Denominator equal to zero)
  Slant Asymptotes
    (top is exactly one more than bottom)
    Use long division to obtain Algebra Formulas Asymptotes slope y intercept form.
Descarte's Rule of Signs:
  The number of positive zeros is equal to the number of
  sign variations in   Algebra Formulas Functions f of x. , or is less than the number
  by an even integer.
 
  The number of negative zeros is equal to the number of
  sign variations in Algebra Formulas Functions f of negative x. , or is less than the number
  by an even integer.
    (imaginary numbers come in pairs)
Rational Zero Theorem:
  Algebra Formulas Rational Zero Theorem.
Remainder Theorem:
  If Algebra Formulas Functions f of x. is divided by Algebra Formulas Functions x minus k. , the remainder is Algebra Formulas Functions f of k.
Compound Interest:
  Algebra Formulas Interest compound interest formula.
Continuously Compounded Interest:
  Algebra Formulas Interest continously compounded formula.
Present Value:
  Algebra Formulas Interest present value formula.
Binomial Expansion Formula:
  Algebra Formulas Binomial Expansion 1.
  Algebra Formulas Binomial Expansion 2.

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