Given the parametric equations below....

Question

Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a function of x

 x(t) = 2sqrt(t)

y(t) = 6t+3 

 

y(x) = ? 

Answer 1

x(t) = 2√t ⇒ 

 

t = x²/4

 

y(t) = 6t + 3 = 6(x²/4) + 3 = 3x²/2 + 3

 

y(x) = 3(x²/2 + 1)