For the parametric curve: x = 4t², y = 4t, eliminate the parameter and express in rectangular form.

Question

Quizplus · Accepted Answer

Given, x = 4t² y = 4t To eliminate the parameter t, we can use the fact that y = 4t and therefore t = y/4. Substituting this value of t in the expression for x, we get: x = 4(y/4)² x = y² Now we can express x and y in rectangular form by substituting the values of ²: x = y(2/√5) y = y Therefore, the equation of the curve in rectangular form is: x = (2/√5)y which is equivalent to the choice B.

For the Parametric Curve: X = 4t2, Y = 4t

For the Parametric Curve: X = 4t², Y = 4t