The coordinates of the vertex of the function
is
(-5, -28).
It is given that the function 
It is required to find the coordinates of the vertex.
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a function:

This function represents a parabola.
We know the standard form of parabola in quadratic style:

By comparing the given function to the standard form of parabola, we get
a = 1, b = 10, and c = -3
The vertex of the parabola is given by:
Putting the values in the above equation, we get:

x = -5 put this value in the given parabola function, we get:

or y = -28
The coordintes = (x, y) : (-5 , -28) which is shown in the graph.
Thus, the coordinates of the vertex of the function
is (-5, -28).
Know more about the parabola here:
brainly.com/question/8708520