Answer:
Step-by-step explanation:
If you plot these points on a coordinate plane, you will see that they both lie on the same horiztonal line, y = -10, with the focus 1/4 to the right of the vertex. This information tells you a ton of stuff. First, it tells you that, since a parabola "hugs" the focus, this parabola opens to the right and is of the form x = y-squared. This equation is
[tex]4p(x-h)=(y-k)^2[/tex]
The information also tells us that p (the distance between the vertex and the focus) is .25. h is the "x" coordinate of the vertex and k is the "y" coordinate of the vertex, so h = -1, and k = -10. Filling in our formula:
[tex]4(.25)(x+1)=(y+10)^2[/tex]
Simplify the left to
[tex]1(x+1)=(y+10)^2[/tex] and solve for x:
[tex]x=(y+10)^2-1[/tex]
