To find the line of symmetry for the parabola represented by the equation y = 2x² + 4x + 1, we can use the formula for the axis of symmetry of a parabola, which is given by:
x = -b / (2a)
In this equation, a and b are the coefficients from the standard form of the quadratic equation y = ax² + bx + c. Here, we have:
- a = 2
- b = 4
- c = 1
Now, we can substitute the values of a and b into the formula:
x = -4 / (2 * 2)
x = -4 / 4
x = -1
Therefore, the line of symmetry for the parabola is x = -1.