Question

Which set of parametric equations represents the following function y=square root of x+3

Answer 1

The given equation is:

$y= \sqrt{x+3}$

We have to find, which of the given set of parametric equations given in the options, result in the above equation:

The correct answer would be option A.

The equations in option A are:

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

From first equation we can see that 5t is equal to x. Using the value of 5th in second equation, we get the equation as:

$y= \sqrt{x+3}$

Therefore, the correct answer is option A