Question 1002658
{{{y^2 = 8x}}}


variable {{{p}}} is one you'll need because it represents the distance between the vertex and the focus 

you have sideways parabola and its equation is: 

{{{4p(x -h) = (y-k)^2}}}

from given, we know that {{{h=0}}} and {{{k=0}}}; so the vertex is at ({{{0}}},{{{0}}})

{{{4p*x = y^2}}}=> compare to {{{y^2 = 8x}}}, you see {{{4p=8}}}=>{{{p=2}}}

then the distance between the vertex and the focus is {{{2}}} and the focus is at ({{{2}}},{{{0}}})




{{{drawing( 600, 600, -10, 10, -10, 10,
circle(2,0,.12),locate(2,-0.3,F(2,0)),
circle(0,0,.15),locate(-0.3,-0.3,V(0,0)),
 graph( 600, 600, -10, 10, -10, 10, 2sqrt(2x), -2sqrt(2x))) }}}