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Home > A2C > Chapter 11 > Lesson 11.2.2 > Problem 11-56


On graph paper, sketch the parabola that is the set of all points equidistant from the focus and the directrix .

  1. Find and simplify the equation of the parabola.

    Now simplify.

  2. Change the equation of the parabola to shift the graph up units. What would the vertex of the new parabola be?

    What operation do you perform on the equation to shift the graph up units?

  3. What would the new focus point be, and what line would be the new directrix?

    When the graph is shifted up 3 units, what happens to the focus and directrix?