Answer

The first task that must be performed here is to rewrite the equation in standard form. Leaving the terms with the variable y on the left side of the equation and moving everything else to the right yields

As we have seen above, we need to insert the appropriate constant in the space provided on the left--hand side of the equation in order to make that side a perfect square. In this case, that quantity is 4. Thus, we arrive at

After some algebra, we see that this is the same as

or

Now we can ``read off'' the necessary information to solve this problem. First, the vertex of this parabola is clearly . Next, since

and the axis of the parabola is horizontal, I know that the focus must be located 3 units to the left of the vertex, placing it at the point . Finally, the directrix is the vertical line 3 units to the right of the vertex, which is the line

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James A. Sellers