Answer:
see the attachment
Step-by-step explanation:
The vertex form of the equation of a parabola is ...
y = a(x -h)^2 +k . . . . . . vertical scale factor "a", vertex (h, k)
For the given points, we have ...
1 = a(0 -3)^2 +5
-4 = 9a . . . . . . subtract 5 and simplify
-4/9 = a
So, the equation of the parabola is ...
y = (-4/9)(x -3)^2 +5
Its graph is shown below.