SOLUTION: Find an equation for the parabola with focus (4,6) and directrix on the x-axis.

Question 1140354: Find an equation for the parabola with focus (4,6) and directrix on the x-axis.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
points (4,6) and (x,0)
Focus and Directrix

from Distance Formula and definition for parabola

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Focus (4,6) and directrix y=0 means the vertex is (4,3); the parabola opens upward.

The general form of the equation of a parabola with vertex (h,k) that opens up or down is

where p is the directed distance from the vertex to the focus; for this example, p=3. Then the formula for this parabola is

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