SOLUTION: write the equation of the parabola with a focus of (1.4) and the directrix x=-3

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Question 862102: write the equation of the parabola with a focus of (1.4) and the directrix x=-3
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The given directrix indicates the line of symmetry is horizontal. Having the focus (1, 4) and the directrix x=-3, means you can use the Distance Formula according to the definition for a parabola and derive this equation. The parabola is some variable set of points, (x,y). The directrix is some variable set of points, (-3, y). Drawing a picture will help.

Starting with your symbolic statement,
, using Distance Formula;
Simplify that and form your result into x on one side, and the expression of y on the other side.