The given equation is:
[tex]y= \sqrt{x+3} [/tex]
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:
[tex]x(t) = 5t \\
y(t)= \sqrt{5t+3} [/tex]
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:
[tex]y= \sqrt{x+3} [/tex]
Therefore, the correct answer is option A