Question

Enter an equation for the line of symmetry for the function defined by f(x) = 4x^2 + 8x +3.

Answer 1

x = - 1

Explanation:

given a quadratic function in standard form

f(x) = ax² + bx + c ( a ≠ )

line of symmetry has equation

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

The the line of symmetry is a vertical line with equation x = c ( c is the value of the x- coordinate of the vertex

given

f(x) = 4x² + 8x + 3 ← in standard form

with a = 4 and b = 8 , then line of symmetry is

x = -
`(8)/(2(4))` = -
`(8)/(8)` = - 1

Equation of line of symmetry is x = - 1