Answer:
The vertex of the parabola is (1,-9)
Step-by-step explanation:
From the equation we know that the zeroes of the function are -2 and 4. The vertex of the parabola is directly in between the two points.
To find the midpoint, we can average the two zeros to get (4-2)/2 = 1. The x-value or axis of symmetry of our vertex is x=1.
Finally, we can plug 1 into our equation as x to get F(1) = -9.
Therefore, our vertex is (1,-9)