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# M11-formulas

Name | Formula |
---|---|

Sum of Arithmetic Series | Sn = n/2[2a + (n-1)d] |

Sum of Geometric Series | Sn = a(r^n - 1) |

How to find r = common ratio | r = tn+1 / tn |

Standard Form for Quadratic | y=ax^2+bx+c |

General geometric Sequence | tn = ar^n-1 |

Vertex Form | y=a(x-h)^2+k |

Simple Interest 1 | I = Prt |

Simple Interest 2 | A = P + I |

Compound Interest | A=p(1+i)^n |

domain & Range: y=2x^2 + 3x + 1 | completing the square factoring. divide mido by 2, square it + and -, kick - out and multiply anything, should look like parabola eqn |

Domain looks like... | D={x| -1 < x < 3} |

Range looks like... | R={y| -1 < y < 3} |

Reciprocal fxn: y=1/x starts in... | quadrant 2 and 3. 1, 0.5,0.5 |

reciprocal Fxn graphs need: | asymptotes, all labeled arrows, domain and range |

inverses | y=x, switching x and y coordinates |

determine eqn of LINEAR inverse: f(x)=5x-2 | replace f(x) with y, switch x and y now, isolate for opp of f(X) which is y |

determine eqn of reciprocal fxn inverse: y=1/x-2 + 3 | replace y with x, isolate for y |

quadratics has _ | (i) which = -1 for square roots |

Created by:
bioger