The line of symmetry for a parabola described by the equation in the form of y = ax² + bx + c can be found using the formula: x = -b / (2a). In your case, the equation is y = x² + 10x + 25, where:
- a = 1
- b = 10
- c = 25
Plugging in the values of a and b into the formula gives:
x = -10 / (2 * 1) = -10 / 2 = -5
Thus, the line of symmetry for the parabola is the vertical line x = -5. This means that if you were to fold the parabola along this line, both sides would match perfectly.