Question

Graphical Reasoning Consider the parabola x2=4pyx^2=4 p y

For each parabola in part (a), find the length of the latus recturn (see figure). How can the length of the latus rectum be determined directly from the standard form of the equation of the parabola?

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Answered 2 years ago
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Given:

x2=4pyx^2=4py

We need to determine the length of the latus rectum in the parabola at p=1p=1, p=2p=2, p=3p=3, and p=4p=4. The length of the latus rectum is the horizontal distance between the two points of the parabola at the same height as the focus.

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