# What is the equation of the axis of symmetry for the graph of y=x^2-6x-7?

The axis of symmetry is the line $x = 3$.
${x}^{2} - 6 x - 7 = \left({x}^{2} - 6 x + 9\right) - 16 = {\left(x - 3\right)}^{2} - 16$.