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Question 949331: Find an equation for a parabola that has its vertex at the origin in the given condition
Focus on the positive x-axis, 2 units away form its directrix
Please explain how to solve
Thank you
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website! Focus is some positive value on x-axis;
Vertex at (0,0);
Directrix must be on the NEGATIVE part of x-axis. Why? Vertex is in the middle.
Focus is (-2,0) and Directrix is (2,y).
Notice that focus is a specific point, while directrix is a specific LINE.
Think about how you could do the rest of this solution (still unfinished). Make a graph of the information you know, refer to the definition of a parabola, and use the Distance Formula to make the equation and simplify it.
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