Question

Find the axis of symmetry of the graph of the function.

f(x) = 2x2 - 4x - 1

Answer 1

or i mean f(x) = 2x^2 - 4x - 1

Answer 2

Find the values of x where f(x) = 0. The axis of symmetry is x = the average of those two.

Or, as you have the equation in the form \(y = ax^2+bx+c\), the x value of the vertex (which is on the line of symmetry) can be gotten from \(x = -\frac{b}{2a}\)

Answer 3

so it would be 1 correct?

Answer 4

\(b = -4,~a = 2,~-\frac{b}{2a} = -\frac{-(-4)}{2*2} = 1\)

Yes, 1 is correct.