Question

Convert to Rectangular x=t^2 , y=2t

Answer 1

To convert the parametric equations to rectangular form, express t as the square root of x from the first equation and substitute it into the second equation to get y = 2√(x).

Step-by-step explanation:

To convert the parametric equations x=t^2 and y=2t to rectangular form, we need to eliminate the parameter t. We notice that t can be expressed as t = √(x) from the first equation since x is equal to t^2. Substituting this expression of t into the second equation, we get y = 2√(x). Therefore, the rectangular form of the given parametric equations is y = 2√(x).

Answer 2

To convert the parametric equations x = t² and y = 2t into rectangular form, we can eliminate the parameter t and express x in terms of y. The rectangular equation representing the parametric equations is x = y²/4.

Step-by-step explanation:

To convert the parametric equations x = t² and y = 2t into rectangular form, we can eliminate the parameter t and express x in terms of y. Let's start by isolating t in the second equation: t = y/2. Now substitute this value of t into the first equation to get x = (y/2)² = y²/4. Therefore, the rectangular equation representing the parametric equations is x = y²/4.