Answer: [tex]y=-(x-1)^{2} +3[/tex]
Step-by-step explanation:
Vertex form of the equation is
y = a(x – h)2 + k, where (h, k) is the vertex.
your vertex is at (1,3)
the equation would be[tex]y=a(x-1)^{2} +3[/tex]
Use the through point to find a
[tex]-1=a(3-1)^{2} +3\\-1=4a+3\\-4=4a\\-1=a[/tex]
Final Equation would be
[tex]y=-(x-1)^{2} +3[/tex]