Modulus Function

Modulus Function

IP 3

A graph has the form \[y=a|x-h|+k,\qquad a>0.\] Its vertex is \((3,-2)\), and it passes through \((5,4)\).

  1. Find its equation.

  2. Find its \(x\)-intercepts.

  3. Sketch the graph.

Solution:

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Answer:(a) \(y=3|x-3|-2\) (b) \(x=\frac73,\frac{11}3\)

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