Write the parabola in a clear form, such as (y=ax^2+bx+c) or (y=a(x-h)^2+k)
Find the vertex
Find the axis of symmetry
Find the y-intercept
Find several additional points by substituting x-values
If needed, find the x-intercepts by setting (y=0)
Plot the vertex on the coordinate plane
Plot the axis of symmetry
Plot the intercepts and additional points
Draw a smooth U-shaped curve through the points
Check that the curve is symmetric about the axis of symmetry