Verified Answer :

A: -4,3

The x coordinate of the vertex is given by
x = -b/2a and the y coordinate of the vertex is given by y= f( -b/2a), we need to transform the equation to the form ax^2 + bx + c

We have: 5(x+4)^2+3
= 5x^2+ 20x + 23

Then we substitute

x= -20/25 y= f(-20/25)
= -4 = f(-4)
=3
So V(-4,3)

The vertex form: y = a(x - h)² + k

(h; k) - coordinates of the vertex

Therefore:

y = 5(x + 4)² + 3
vertex: (-4; 3)

Answer: A: -4, 3