Question

2. The axis of symmetry for the quadratic function given by the equation f(x)=-3x² + 18x-24 is x =_

Answer 1

The axis of symmetry for the quadratic function f(x) = -3x² + 18x - 24 can be found using the formula x = -b/2a, where a is the coefficient of the x² term, and b is the coefficient of the x term.

From the given quadratic function, we can see that a = -3 and b = 18. Substituting these values into the formula, we get:

x = -b/2a

x = -18/(2*(-3))

x = -18/-6

x = 3

Therefore, the axis of symmetry for the quadratic function f(x) = -3x² + 18x - 24 is x = 3.