Final answer:
The equation provided is a quadratic equation in standard form, which can be solved using methods such as factoring, completing the square, or the quadratic formula to find its roots.
Step-by-step explanation:
The equation y=x^2-16x+63 is a quadratic equation, which is a polynomial equation of the second degree. The standard form of a quadratic equation is ax^2 + bx + c = 0. To solve this equation for x, you can either factor it, complete the square, or use the quadratic formula. If this specific equation was meant to be solved, we would look for values of x that make the equation true. This involves finding the roots of the equation, which are the x-intercepts of the parabola represented by the equation on a graph.