I. Mark the focus of the parabola you are going to create at F(-5,2). Draw a vertical
line that is 8 units to the right of the focus. This line will be the directrix of your
parabola. What is the equation of the line?
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ii.
Construct the line that is perpendicular to the directrix and passes through the
focus. This line will be the axis of symmetry of the parabola. What are the
coordinates of the point of intersection, A, of the axis of symmetry and the directrix
of the parabola?
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iii.
Explain how you can locate the vertex, V, of the parabola with the given focus and
directrix. Write the coordinates of the vertex.
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iv.
Which way will the parabola open? Explain.
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v.
How can you find the value of p? Is the value of p for your parabola positive or
negative? Explain.
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vi. What is the value of p for your parabola?
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vii. Based on your responses to parts i and v above, write the equation of the
parabola in vertex form. Show your work.
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