Question

What is an equation of the axis of symmetry for the parabola whose equation is y=2x^2 + 8x-1

Answer 1

x = - 2

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 = -
`(b)/(2a)`

Given

y = 2x² + 8x - 1

with a = 2 and b = 8 , then

x = -
`(8)/(4)` = - 2

x = - 2 is the equation of the axis of symmetry