Math Formulas and Concepts
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Created by:
rickgk1000 on May 14, 2010
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15 terms
Terms | Definitions |
|---|---|
 Distance formula | d = √[( x₂ - x₁)² + (y₂ - y₁)²] |
| midpoint formula | (x₁+x₂)/2, (y₁+y₂)/2 |
| standard form of a cirlce | (x-h)²-(y-k)²=r² |
| Center of a Cirlce | (h,k) |
| slope intercept form | y=mx+b (m=Slope, b=Y-intercept) |
| Point Slope | y-y1=m(x-x1) |
| quadratic formula | x = -b ± √(b² - 4ac)/2a |
| linear shifts | ƒ(x) = c >0/ ƒ(x)+c ƒ(x) Shifted c units up/ ƒ(x)-c ƒ(x) Shifted c units down/ ƒ(x+c) ƒ(x) Shifted c united to the left/ ƒ(x-c) ƒ(x) Shifted c units to the right/ |
| Combination of functions | (f+g)(x) = f(x) + g(x)/ (f-g)(x) = f(x) - g(x)/ (f•g)(x) = f(x) • g(x)/ (f÷g)(x) = f(x) ÷ g(x), g(x)≠0/ |
| Vertical Elongation and Compression | C•ƒ(x)/ if C>1 Vertical Eongation of the graph ƒ(x)/ if 0<C<1 Vertical Compression of the Graph ƒ(x)/ If C=-1 Reflection about the x-axis/ |
| Vertical and Horizontal, Elongation and Compression | Vertical Elongation=Horizontal Compression Vertical Compression = Horizontal Elongation |
| Graphing Polynomial Functions | 1. Find Zero's/ 2. Multiplicity/ a. Even multiplicity makes graph bounce b. Odd multiplicity makes graph pass through 3. Y-Intercept, set x=0/ 4. End Behavior (number of total x's)/ a. x→ ∞, y→ ? b. x→ -∞, y→ ? |
| The Division Algorithm | P(x)÷D(x) = Q(x) + R(x)/D(x) |
| Graphing Rational Functions | 1. Vertical Asymptote (and Holes if any)/ 2. Horizontal Asymptote (and if graph crosses) 3./ Slant Asymptote (if any)/ 4. Find x and y intercepts/ 5. Additional Points if needed./ |
| Interval Notation | (-∞,∞) |
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