Answer:
The coordinates of the vertex will be (-4,-1)
Step-by-step explanation:
Let's recall that the vertex is in the middle point of the roots of a quadratic function.
The root are (-3,0) and (-5,0) so the x-value of the vertex will be:
[tex]x_{vertex}=\frac{-5-(-3)}{2}-3[/tex]
[tex]x_{vertex}=-1-3=-4[/tex]
The y-value of the vertex is given by the minimum value, that is -1
Therefore, the coordinates of the vertex will be (-4,-1)
I hope it hleps you!