Math
posted by Abbey .
Find the quadratic function that has the indicated vertex and whose graph passes through the given point.
Vertex: (2,3) Point: (0,2)
I do not know how to do this! Please explain!! Thank You

Write it in vertex form
y = a(x2)^2 + 3, the only thing we don't know is the a value
sub in the given point
2 = a(2)^2 + 3
1 = 4a
a = 1/4
so
y = (1/4)(x2)^2 + 3
expand it if you need it in general form