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

**Solution:**

**The line of symmetry is a line that divides an object into two identical pieces. Here, we have a star and we can fold it into two equal halves. **

**When a figure is folded in half, along its line of symmetry, both the halves match each other exactly. **

**This line of symmetry is called the axis of symmetry.**

Given: Equation is y = 2x^{2} - 4x + 1.

**Differentiate with respect to x, we get**

dy/dx = 4x - 4

The line of symmetry is present where the curve turns

**It is when the gradient of the curve is zero**

dy/dx = 0

4x - 4 = 0

**Now solve for x,**

4x = 4

x = 1

**Therefore, the line of symmetry for the parabola is x = 1.**

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

**Summary:**

The line of symmetry for the parabola whose equation is y = 2x^{2} - 4x + 1 is x = 1.