1. The problem statement, all variables and given/known data i am given the equation of a parabola to be y=2x^2-2x+3 and asked to sketch the parabola 2. Relevant equations y=1/2(l-p)(x-k)^2+(l+p)/2 (l+p)/2=h vertex is at (k,h) equation of the directrix is y=p distance[(k,h) to y=p]=distance[(x,y) to (k,h)] 3. The attempt at a solution (1) completing the squares for y=2x^2-2x+3 i get y=2(x-1/2)^2+2 =>k=1/2 & h=2 & a=2 .'. vertex is at (1,2) (2) (l+p)/2=h=2 ........eqn1 1/(2(l-p))=a=2....eqn2 making l the subject in eqn.1 i get l=4-p substituting in eqn2 i get 1/(2(4-p-p))=2 =>1/(8-4p)=2 =>1=16-8p .'.p=-15/8~-1.08 =>eqn of directrix is y=-1 (3)given the vertex is at (1,2) F is at (1,3) taking (1,-1) from the directrix from (2,4) to F is sq. root of 2 units from (2,4) to (1,-1) is sq. root of 26 units AND THIS ISNT A PARABOLA PLEASE, WHERE HAVE I WENT WRONG BUDDIES?!?