What is the vertex of the graph of y = 5 (x + 4) 2 + 3?

A: - 4,3

B: 4,3

C: 3,4

D: 3,-4

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 = - 20/2*5 y = f (-20/2*5) = - 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