To make the graph: | Do this: |

flip upside down | make it negative (y = -x2) |

narrower | multiply by an integer (y = 4x2) |

wider | multiply by a fraction (y = 1/5x2) |

move up the graph | add to the quadratic (y = x2+ 1) |

move to the left | add to the variable (y = (x+1)2) |

**Rotation**

**Reflection**