Sketch the curve represented by the parametric equations,and write the corresponding rectangular equation by eliminating the parameter.
A)
B)
C)
D)
E)

Question

Sketch the curve represented by the parametric equations,and write the corresponding rectangular equation by eliminating the parameter. ​  ​
A) ​ ​ 
B) ​ ​ 
C) ​ ​ 
D) ​ ​ 
E) ​ ​

Quizplus · Accepted Answer

To eliminate the parameter t, square both sides of the equation given for x: 
$x^2 = 9t^2 + 1$
Then, substitute for $t^2$ using the equation given for y: 
$x^2 = 9y - 8$
This is the equation of a parabola with vertex at (0,-8/9) and axis of symmetry along the y-axis.

Sketch the Curve Represented by the Parametric Equations,and Write the Corresponding