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Eliminate the parameter

X=1/4t2  y=t
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3 Answers

Alternatively, 
 
Sub in Y at the beginning
 
X=1/4t2 Y=t
 
Becomes:
 
X=1/4Y2
 
Solve for Y:
 
Y2=4x
 
|Y|=√4x=2√x
 
(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.