carmen wants to tie a piece of ribbon onto balloons for a party. She has a ribbon that is 22 1/2 inches long which she'll cut in
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keeping in mind that the vertex is between the focus point and the directrix, in this cases we have the focus point above the directrix, meaning is a vertical parabola opening upwards, Check the picture below, which means the "x" is the squared variable.
now, the vertical distance from the focus point to the directrix is , which means the distance "p" is half that or 1/8, and is positive since it's opening upwards.
since the vertex is 1/8 above the directrix, that puts the vertex at , meaning the y-coordinate for the vertex is 2.
