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Eliminate the parameter

X=1/4t2  y=t
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3 Answers

Sub in Y at the beginning
X=1/4t2 Y=t
Solve for Y:
(Note: |Y| is the absolute value of Y, a more correct alternative to the plus/minus symbol)
x = (1/4)t2
4x = t2
√4x = √t2
±2√x = t
y = t
y = ±2√x
To eliminate the parameter T, from our equations we have to substitute one into the other.  The equation y = t allows us to substitute into x=1/4t2.  We get the relation: x = 1/4y2.  If you want it in function form, you'll end up with two equations, one positive and one negative due to the square root.