Question

Once you have constructed the parabola, use GeoGebra to display its equation. In the space below, rearrange the equation of the parabola shown in GeoGebra, and check whether it matches the equation in the vertex form that you wrote in part G. Show your work.

Answer 1

Explanation:

A. Directrix: y = 4-6 = -2

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B. Axis of symmetry: x = 6

Axis of symmetry intersects directrix at (6,-2)

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C . Vertex is halfway between focus and directrix, at (6,1)

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D. The focus lies above the directrix, so the parabola opens upwards.

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E. Focal length p = 1/(4×0.5)

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F. p = 0.5

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G. y = 0.5(x-6)² + 1