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30 November, 16:52

A curve is describe by the following parametric equations:

x=3+t, y=t^2-4

Which statement best describes the curve?

A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.

B. The curve is a parabola with a vertex at (3,-4) and is traced from right to left for increasing values of t.

C. The curve is a parabola with a vertex at (-3,4) and is traced from left to right for increasing values of t.

D. The curve is a parabola with a vertex at (-3,4) and is traced from right to left for increasing values of t.

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Answers (1)
  1. 30 November, 17:17
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    A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.

    Step-by-step explanation:

    x = 3 + t

    y = t² - 4

    Eliminating the parameter:

    t = x - 3

    y = (x - 3) ² - 4

    This is an upwards parabola with a vertex at (3, - 4).

    x = 3 + t, so as t increases, x increases.

    So the curve is traced from left to right.
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