Question

i need help...it says write an equation of a parabola with the vertex at (1,0) and the directrix at x=-5....someone please help : or explain it to me

Answer 1

put it in cartesian coordinates or just draw this one first...
here directrix x=-5, means the parabola opens to the right....its formula is
4p(x-h)=(y-k)^2,.....vertex(1,0) ,,,h=1,k=0,,directrix=h-p,....
-5=1-p
p=1+5=6 therefore

4p(x-h)=(y-k)^2
4(6)(x-1)=(y-0)^2
24(x-1)=y^2
24x-24=y^2 ans
or y^2=24x-24 ans

Answer 2

goodluck babygurl..