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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.

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mhanifa

Answer:

  • y =  3 | x + 2 | - 5

Step-by-step 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

Ver imagen mhanifa
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