We can solve this using vertex form of a parabola: [tex]y=a(x-h)^2+k[/tex] In our case h=5 and k=3, these are coordinates of our vertex point. There is no way to find a without knowing any other coefficients. When you start solving some equations to get the parameters you always end up with identity (example 25=25). This means that your equation has an infinite number of solutions. In other words, any a will give you a parabola with vertex at the specified point. The final answer would: [tex]y=a(x-5)^2+3[/tex] Where a is any real number.
