Question

Find the line of symmetry for the parabola whose equation is y = 2x 2 - 4x + 1.

Answer 1

The axis of symm. is x = 1.

Explanation:

When faced with a quadratic equation (or formula for a parabola), we can find the equation of the axis of symmetry using the following:

-b

x = -------

2a

Please use " ^ " to denote exponentiation: y = 2x^2 - 4x + 1.

Here, a = 2, b = -4 and c = 1.

Thus, the axis of symmetry of this parabola is

-(-4)

x = --------- = 1 or x = 1

2(2)