Answer:
The answer to your question is x = 3
Step-by-step explanation:
Equation
y = x² + 6x + 5
Process
1.- Find the vertex
x² - 6x = y - 5
x² - 6x + (3)² = y - 5 + (3)²
(x - 3)² = y - 5 + 9
(x - 3)² = y + 4
Vertex = (3, -4)
2.- It is vertical parabola and the axis of symmetry is parallel to the y-axis and crosses the point 3.
The equation of the axis of symmetry is x = 3
See the graph below (blue line)