I am reviewing for a numerical analysis exam, and I came across a question on drawing Bezier curves. "Draw on 3 separate figures planar Bezier curves $$ c(t)=\sum_{k=0}^3p_k B_{3,k}(t)\hspace{5mm} t\in[0,1]$$ where $B_{3,k}(t)=\binom{3}{k} t^k(1-t)^{3-k}$ with control points on $p_k$ at the vertices of a unit square:
(a) $p_0=(0,0),p_1=(0,1),p_2=(1,1),p_3=(1,0)$
(b)$p_0=(0,0),p_1=(1,1),p_2=(0,1),p_3=(1,0)$
(c) $p_0=(0,0),p_1=(0,1),p_2=(1,1),p_3=(1,0)$"
I don't know how the control points interact with the equation $c(t)$. Any help is appreciated.