Answer:
x = 1/2
Explanation:
Factor the equation.
First eliminate the greatest common factor (GCF).
f(x)= -1(x^2 - x - 6)
Factor by finding 2 values that multiply to the constant (-6) and add to the b value (-1).
These values would be -3 and 2.
f(x)= -1(x-3)(x+2)
Therefore the x intercepts are x=3 and x=-2.
Find the average of the x intercepts.
(3+(-2))/2 = 1/2
Therefore the axis of symmetry is at x = 1/2.
This problem could also be solved by putting the equation in vertex form but it may be more time-consuming. Let me know if you would like to see that method of solving :)