college algebra
posted by nik .
find the equation of a parabola that opens to the right with given vertex: (0,3) and passes through the point: (2,1)

with a vertex of (0,3) and opening up to the right, the equation is
x = a(y3)^2 + 0
but it passes through (2,1)
2 = a(16)
a = 1/8
x = (1/8)(y3)^2
or
8x = (y3)^2