Elevation of a Point on the Curve Formula

Equation for calculate elevation of a point on the curve is,

y = y₀ + g₁x + [(rx²) / 2]

where,
y₀ - elevation of the beginning of the vertical curve (BVC)
g₁ - grade just prior to the curve
x - horizontal distance from the BVC to the point on the curve
r - rate of change of grade
y - elevation of a point on the curve