The vertex of the given modulus function is (3,-7).
Given information:
The given modulus function is,
![f(x)=|x-3|-7](https://tex.z-dn.net/?f=f%28x%29%3D%7Cx-3%7C-7)
It is required to find the vertex of the given function.
<h3>What is the vertex of a modulus function?</h3>
Modulus function is in the shape of V. The notch of V is the vertex of the function.
The given function can be defined as,
![f(x)=x-10;x\geq3\\ f(x)=-x-4;x](https://tex.z-dn.net/?f=f%28x%29%3Dx-10%3Bx%5Cgeq3%5C%5C%0Af%28x%29%3D-x-4%3Bx%3C3)
From the above function, it can be concluded that the vertex of the function should be (3,-7). Also shown in the attached image.
See the attached image.
Therefore, the vertex of the given modulus function is (3,-7).
For more details about modulus function, refer to the link:
brainly.com/question/18793028