Practice Test A

  1. Find the standard form of the parabola with focus (0, 12) and directrix with equation x=12.

  2. Convert the equation y22y+8x+25=0 to the standard form for a parabola by completing the square.

  3. Find the focus and directrix of the parabola with equation x2=9y.

  4. Graph the parabola with equation y2=5x.

  5. Find the vertex, focus, and directrix of the parabola with equation (x+2)2=8(y1).

  6. The base of a water slide is parabolic in shape and is 6 feet wide and 2 feet deep. Find the height of the slide 1 foot from its center.

  7. Find an equation of the parabola with vertex (3, 1) and directrix x=3.

In Problems 8–10, find the standard form of the equation of the ellipse satisfying the given conditions.

  1. Foci: (0, 2), (0, 2) vertices: (0

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