Question

the graph of the absolute value parent function is vertically stretched by a factor of three, then shifted two units left & five units down. Write the equation of the new function in vertex form.

Answer 1

• y = 3 | x + 2 | - 5

Explanation:

The absolute value function is:

• y = | x |

Step 1. Function is vertically stretched by a factor of 3:

• y = 3 * | x |

Step 2. Shifted two units left:

• y = 3 | x + 2 |

Step 3. Shifted 5 units down:

• y = 3 | x + 2 | - 5

See attached

Steps are Black → Blue → Green → Red