Question

Write the equation of the absolute value function with the following transformations:

Translate left 12 units, stretch by a factor of 4, and reflect over the x-axis.

Answer 1

• y = - 1/4 | x + 12 |

Explanation:

Showing the function and transformation steps

Absolute value function

• y = | x |

Translate left 12 units

• y = | x + 12 |

Stretch by a factor of 4

• y = 1/4 | x + 12 |

Reflect over the x-axis

• y = - 1/4 | x + 12 |

Refer to attached for a graph