Question

What is the line of symmetry for the parabola whose equation is `y=-x^2+x+3`?

Answer 1

Axis of symmetry is: `x=1/2`

Explanation:

You do not need to go as far as the finished process of completing the square.

Write as `-(x^2color(magenta)(-x))+3`

The coefficient of `x` is`color(white)(.)color(magenta)( -1)`

So the line of symmetry `-> x=(-1/2)xxcolor(magenta)((-1)) = +1/2`

Axis of symmetry is: `x=1/2`