1. Draw $x^2+4x+y^2-10y=7$ by first completing the square.
  2. Draw $\ds \frac{(x-2)^2}{16}-\frac{(y-3)^2}{9}=1$.
  3. Draw $\ds \frac{(y-3)^2}{9}-\frac{(x-2)^2}{16}=1$.
  4. Draw $x^2-6x+2y^2+8y=8$ by first completing the square.
  5. Give an equation of the parabola with focus $(4,3)$ and directrix $y=-5$.
  6. Find the focus of the parabola $y=x^2-6x+13$.
  7. Draw the hyperbola $x^2+6x-4y^2+8y=3$.
  8. Draw the parametric curve $x=2+3\cos t$, $y=5+2\sin t$. Make a $t,x,y$ table of points, and then graph the $(x,y)$ coordinates.

Problem Set
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