Write an equation that best represents the axis of symmetry of the quadratic function y=2x^2-8x+3

## Step 1<br />The given quadratic function is \(y=2x^{2}-8x+3\). The general form of a quadratic function is \(y=ax^{2}+bx+c\), where \(a\), \(b\), and \(c\) are constants.<br /><br />## Step 2<br />The axis of symmetry of a quadratic function is given by the formula \(x=-\frac{b}{2a}\).<br /><br />## Step 3<br />In the given function, \(a=2\) and \(b=-8\).<br /><br />## Step 4<br />Substitute the values of \(a\) and \(b\) into the formula for the axis of symmetry.<br /><br />### \(x=-\frac{-8}{2*2}\)<br /><br />## Step 5<br />Simplify the equation to find the axis of symmetry.<br /><br />### \(x=2\)