Hi, can anyone help to:

Question

determine the equation of a parabola with the vetex (0,3) and passing through (3,4)?
How to figure out the coeffiecient of X?

Answer 1

using the vertex (0,3)
it must be
y = ax^2 + 3
but (3,4) lies on it
4 = a(9) + 3
9a = 1
a = 1/9

y = (1/9)x^2 + 3