Use the distance formula to write an equation of the parabola. focus: (0,2) directrix:y=-2

Question

Diamond Padilla

Mathematics

15 June, 19:10

Use the distance formula to write an equation of the parabola. focus: (0,2) directrix:y=-2

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Answers (1)

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Cadence Pugh · Answer 1

y = (x^2) / 8

Step-by-step explanation:

This is a vertical parabola. Because the y-coordinate of the focus is greater than the y-value of the directrix, the graph opens up. The general formula for a parabola in this situation is 4py = x^2. Here, y is the distance between the vertex (0,0) and the focus, or 2. Thus, 4 (2) y = x^2, or y = (x^2) / 8.