Graph the plane curve formed by the parametric equations and indicate its orientation.
$x\left(t\right)=-t+1$;$y\left(t\right)=t^2$
$-2\le t\le 2$

In Exercises 59–62, sketch the plane curve represented by the given parametric equations. Then use interval notation to give each relation's domain and range.x = t² + t + 1, y = 2t

In Exercises 71–76, eliminate the parameter and graph the plane curve represented by the parametric equations. Use arrows to show the orientation of each plane curve.x = 2t − 1, y = 1 − t; −∞ < t < ∞

In Exercises 71–76, eliminate the parameter and graph the plane curve represented by the parametric equations. Use arrows to show the orientation of each plane curve.x = 3 + 2 cos t, y = 1+2 sin t; 0 ≤ t < 2π

Find two different sets of parametric equations for y = x² + 6.

In Exercises 1–8, parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.x = 3 − 5t, y = 4 + 2t; t = 1

In Exercises 1–8, parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.x = 7 − 4t, y = 5 + 6t; t = 1

In Exercises 1–8, parametric equations and a value for the parameter t are given. Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.x = t² + 1, y = 5 − t³; t = 2