Two questions involving quadratics. Next to a diagram of a parabola with a ma point with the y intercept of $(0,p)$ and roots $(-1,0)$ and $(p,0)$ it says:3a) Show that the equation of the parabola is $y=p+(p-1)x-{x}^{2}$

3b) For what value of $p$ will the line $y=x+p$ be a tangent to this curve.

3b) For what value of $p$ will the line $y=x+p$ be a tangent to this curve.