The parametric equation {x=t^2+4t+8 ; y=t+4

Question

a. Reduce the equation to simplest rectangular form
b. Determine the Center and the type of graph of the resulting equation.
c. Graph the equation in rectangular form

Answer 1

polar can get kind of complicated, but this one's a piece of cake:

y = t+4, so t = y-4

x = (y-4)^2 + 4(y-4) + 8

Now expand it out and note that it's just a parabola.