# The Austin Math Tutor(512) 923-1137

Parabolas:
 A Vertical Parabola with vertex at Parabola open upward if , downward if  A Horizontal Parabola with vertex at Parabola open right if , left if  Vertex of a parabola = Quadratic Formula: If , where  Discriminant: If two real solutions If one real solution (double solution) If two imaginary solutions
 Circles: A Circle with center at and radius  Imaginary Numbers:    If , then Even and Odd Functions: (symmetry) If the function is even Even functions are symmetric to the Y-Axis If the function is odd Odd functions are symmetric to the Origin A function can be neither even or odd
 Permutations and Combinations:   Asymptotes: Horizontal Asymptotes:  (exponents) (top is bigger) No  H. A. (same)  use coef.  (bottom is bigger) Vertical Asymptotes (set Denominator equal to zero) Slant Asymptotes (top is exactly one more than bottom) Use long division to obtain Descarte's Rule of Signs: The number of positive zeros is equal to the number of sign variations in , or is less than the number by an even integer. The number of negative zeros is equal to the number of sign variations in , or is less than the number by an even integer. (imaginary numbers come in pairs)
 Rational Zero Theorem: Remainder Theorem: If is divided by , the remainder is Compound Interest: Continuously Compounded Interest: Present Value: Binomial Expansion Formula:  