What is the axis of symmetry of -2x^2+5x+3 ?
There are several ways you could find this, but you are essentially finding the x-coordinate of the turning point of the parabola you have just given.
If we factorise the expression, we get
We know that the turning point of the parabola occurs exactly half way between the roots (where the curve crosses the x-axis). To find the roots, we set the value of y equal to 0.
Now we just need to find the value of
So the axis of symmetry (or line of symmetry) is