search for: 1766x

I have an equation describing the best-fit model for a set of points (just 2 axes) that is in the form: y=b+mx+px^2 Where b is the intercept, m is the slope describing a linear term, and p is a slope of the quadratic term. I would like to plot this equation on a curve (I know the equation is y=(.1766x^2)+(.171x)+.101) on the original scatterplot. Any easy way to plot this equation and preferably with a prediction interval around the line? I have tried the lines() and predict() commands, using the linear model to plot, but get very whacky results. abline works great but does not include the quad...