Answer :
y = 2( x-3)^2 +5
Explanation:
The vertex form of a parabolic functions is
y = a( x-h)^2 +k
where (h,k) is the vertex
y = a( x-3)^2 +5
Substituting the point into the equation
13 = a( 1-3)^2 +5
13 = a*( -2)^2 +5
13 = 4a +5
Subtract 5
8 = 4a
Divide by 4
8/4 =a
2=a
y = 2( x-3)^2 +5