Answer:
x = - 2
Step-by-step explanation:
The equation of the axis of symmetry is a vertical line with equation
x = c
where c is the value of the x- coordinate of the vertex
The x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
Given
y = 2x² + 8x - 1
with a = 2 and b = 8 , then
x = - [tex]\frac{8}{4}[/tex] = - 2
x = - 2 is the equation of the axis of symmetry