The axis of symmetry for a quadratic function in the form of f(x) = ax² + bx + c can be found using the formula:
x = -b / (2a)
In this case, we have:
- a = 5
- b = 20
- c = 10
Now, applying the values to the formula:
x = -20 / (2 * 5) = -20 / 10 = -2
Thus, the axis of symmetry for the function f(x) = 5x² + 20x + 10 is x = -2.
This means that the parabola represented by this quadratic function is symmetric about the line x = -2.