Need equation for parabola in vertex form vertex (1,3) point (2 -3)

Question

Need equation for parabola in vertex form

Vertex (1 3 ) point (2 -3)

Answer 1

y=a(x-1)^2+3

-3=a+3

y=-6(x-1)^2+3

or

x=a(y-3)^2+1

2= 36a+1

a=1/36

x=(1/36)(y-3)^2+1