The vertex of the given modulus function is (3,-7).
Given information:
The given modulus function is,

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,

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
Volume = 1/3a^2h
v= 1/3 x 8.2^2 x 5.3
v=118.79066666667 in^3
The correct answer is √313. ( square root of 313 or 17.7)
Hope this helps.