Answer
(a)
Vertex: $V(0,0)~~$ (Origin)
Focus: $F(1,0)$
Directrix: $x-1$
(b)
Work Step by Step
Equation of a parabola with horizontal axis and vertex at $(h,k)$:
$(y-k)^2=4p(x-h)$
$y^2=4x$
$(y-0)^2=4(x-0)$
$h=0$
$k=0$
$4p=4$
$p=1$
Vertex: $V(h,k)=V(0,0)$
Focus: $F(p,0)=F(1,0)$
Directrix: $x=-p=-1$