Respuesta :

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)            

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