Answer:
x = -4
Step-by-step explanation:
Given the equation of the parabola y² = -8x, the axis of symmetry has equation to be x = c
To get the value of x from the equation, we will use the related
x = -b/2a
The equation given can be rewritten as y²+8x = 0
Comparing this with he general form of a quadratic equation
ax²+bx+c = 0
a = 1, b = 8
x = -8/2(1)
x = -8/2
x = -4
The axis of symmetry of the parabola is at x = -4.
Note that the axis of symmetry passes through the vertex of the parabola