Question 372863
{{{y = a(x-h)^2 + k}}},
{{{y = a(x-5)^2 + 5}}}, after using the coordinates of the vertex.
Use the coordinates of the given point to find the coefficient a:
{{{17 = a(7-5)^2 + 5}}},
{{{12 = a*2^2}}},
4a = 12, or a = 3.  Thus the quadratic function is {{{y = 3(x-5)^2 + 5}}}.