Question

Find the axis of symmetry for this parabola: y = -x2 + 6x - 8 Write your answer as an equation.

Answer 1

ANSWER

$x=3$

EXPLANATION

We want to find the axis of symmetry of the parabola given:

$y=-x^2+6x-8$

The general form of the equation of a parabola is:

$y=ax^2+bx+c$

The axis of symmetry is given as:

$x=-\frac{b}{2a}$

From the given equation:

$a=-1;b=6$

Therefore, the equation of the axis of symmetry is:

$\begin{gathered} x=-\frac{6}{2(-1)} \\ x=-\frac{6}{-2}=-(-3) \\ x=3 \end{gathered}$