Answer:
![y=(x-5)^2+3](https://tex.z-dn.net/?f=y%3D%28x-5%29%5E2%2B3)
Step-by-step explanation:
equation has a graph that is a parabola with a vertex at (5, 3)
Given the vertex is (5,3) that is (h,k)
Vertex form of equation is
where (h,k) is the vertex
Given the vertex is (5,3), h=5 and k=3
Plug in the values in the vertex form of the equation
![y=a(x-h)^2+k](https://tex.z-dn.net/?f=y%3Da%28x-h%29%5E2%2Bk)
![y=(x-5)^2+3](https://tex.z-dn.net/?f=y%3D%28x-5%29%5E2%2B3)