1. Give an equation of the parabola with focus $(4,3)$ and directrix $y=-5$.
  2. Find the focus of the parabola $8(y-3)=(x-1)^2$.
  3. Find the focus of the parabola $y=x^2-6x+13$.
  4. Draw the hyperbola $x^2+6x-4y^2+8y=3$.
  5. 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.

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