Question

What is the equation for the line of symmetry for the graph of the function y = -4x^2 + 6x-8?

Answer 1

$\displaystyle \\ -4x^2 + 6x - 8 = 0 \\ \\ \texttt{The equation for the line of symmetry for the graph is: } \\ \\ x = \frac{-b}{2a} = \frac{-6}{-8} = \frac{3}{4} \\ \\ \Longrightarrow~~\texttt{The equation for the line of symmetry is: } \\ \\ \boxed{x= \frac{3}{4} } ~~~~~(\texttt{vertical line})$