The axis of symmetry for a quadratic function in the standard form f(x) = ax² + bx + c can be found using the formula:
x = -b / (2a)
In this case, our function is f(x) = 2x² + 8x + 8, where:
- a = 2
- b = 8
- c = 8
Now, let’s substitute the values of a and b into the formula:
x = -8 / (2 * 2)
This simplifies to:
x = -8 / 4 = -2
Therefore, the axis of symmetry for the function f(x) = 2x² + 8x + 8 is x = -2.
This means that the parabola represented by the function is symmetric about the line x = -2.