[tex] \sqrt{t}, y=4t+1
[/tex]
change [tex] x=\sqrt{t}[/tex] into [tex] x^{2} =t[/tex] to get rid of the square root. Keep in mind that if you need to graph the equation, x>=0 because there can't be a negative under the square root.
Then substitute [tex] x^{2} [/tex] into y=4t+1 for t and you get:
[tex]y=4 x^{2} +1[/tex]