Answer:
x = 2
Explanation:
f(x) = -2x² + 8x - 9
Comparing this function with f(x) = ax² + bx + c
a = -2, b = 8, c = -9
The axis of symmetry is given by the formula:
x = -b/2a
Substitute a = -2 and b = 8 into the formula:
[tex]\begin{gathered} x=\frac{-8}{2(-2)} \\ \\ x=\frac{-8}{-4} \\ \\ x=2 \end{gathered}[/tex]
x = 2
