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What are the Cartesian coordinates of a point on the parabola y^2 = -16x, corresponding to the parameter t = 1/2 ? Is this point unique ?
What are the Cartesian Co-ordinates of a point, on the parabola y^ = -16x, having the parameter t = 1/2 ?
Is this point unique ?
2 Answers
- PuzzlingLv 73 years agoFavorite Answer
Unless you have a specific pair of parameterized functions, there is no way to get a single unique point.
y² = -16x
For example, here's one way to parameterize the parabola:
x = -4t²
y = -8t
Then for t=½:
x = -4(½²) = -1
y = -8(½) = -4
But here is another way to parameterize the same parabola:
x = -t²
y = 4t
Then for t=½
x = -1/4
y = 2
Source(s): https://www.desmos.com/calculator/vm5tf26kej
