Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A point on the parabola is units from the focus. Find the -coordinate of , the numerical value of its -coordinate, and the distance of from the directrix.
The parabola has its focus at and its directrix . The latus rectum has length , and the focal distance of is . The point is on it for every .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The constant. , so .
Step 2. The abscissa. , so .
Step 3. The ordinate. , so .
Step 4. The directrix. The distance from the directrix is , the same as the distance from the focus.
Answer: , and the distance from the directrix is units.
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