SOLUTION: Write and equation for the parabola with a vertex (0,0) and focus (0,-1/12)
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Question 747686: Write and equation for the parabola with a vertex (0,0) and focus (0,-1/12)
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The focus is below the vertex, so this vertex is a maximum. You expect the coefficient on x^2 to be negative.
A general equation for a parabola having vertex on the origin is , where p is the focal length, distance between the focus and the vertex. In your exercise, . See your textbook and http://en.wikipedia.org/wiki/Parabola .
The equation for the described parabola is , and as said, since the vertex is a maximum, we must have , so we have:
.
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