SOLUTION: Find the standard form of the parabola, where the vertex is (3, 2), and the directrix is x = 1.

Question 1121357: Find the standard form of the parabola, where the vertex is (3, 2),
and the directrix is x = 1.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
and you can multiply and change the form if you want or need.

Focus is at (5, 2) on the concave side.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The directrix is the vertical line x=1, and the vertex is (3,2). So the parabola opens to the right.

One standard form of the equation is

where the vertex is (h,k) and p is the distance from the vertex to the directrix and from the vertex to the focus.

In this example, the vertex is 2 to the right of the directrix, so p=2. Then the equation is

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