Question

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

Answer 1

`x=3`

Step-by-step 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=-(b)/(2a)`

From the given equation:

`a=-1;b=6`

Therefore, the equation of the axis of symmetry is:

`\begin{gathered} x=-(6)/(2(-1)) \\ x=-(6)/(-2)=-(-3) \\ x=3 \end{gathered}`