Consider the parametric equations x = ( (t) = t + 2 and y = g(t) =

Question:

Consider the parametric equations x = ( (t) = t + 2 and y = g(t) = (1 - t2.
a. Graph x = ( (t) and y = g(t).
b. Graph x = ( (t) and y = -g(t) and identify the transformations of the original equations. Eliminate the parameter to write a single equation using only x and y.
c. Graph x = -( (t) and y = g(t) and identify the transformations of the original equations.
Eliminate the parameter to write a single equation using only x and y.
d. Graph x = -( (t) and y = -g(t) and identify the transformations of the original equations. Eliminate the parameter to write a single equation using only x and y.