Question

Which set of parametric equations represents the following function? y=/x+3?

Answer 1

Finding Parametric Equations Quiz

1. Which set of parametric equations represents the following function? y=√x+3

A. x(t) = 5t

    y(t) = √5t+3

2. Identify the parametric equations that represent the same path as the following parametric equations. Select all that apply. x(t)=t   y(t)=3t²-4

A. x(t) = 2t

    y(t) = 12t² - 4

B. x(t) = -t

    y(t) = 3t² - 4

3. (Your question)

C. x(t) = 2cos4t

    y(t) = sin6t

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Answer 2

The given equation is:

$y= \sqrt{x+3}$

We need to find which set of parametric equations, result in the equation given above. The correct answer is option A.

$x=5t, y= \sqrt{5t+3}$

From first equation, we can write t =x/5. Using this value in second equation, we get:

$y= \sqrt{5( \frac{x}{5} )+3} \\ \\ y= \sqrt{x+3}$

Thus the set of equations in option A result in the given relation.
So, the answer to this question is option A