Writing Equations of Parabolas

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Writing Equations of Parabolas

1. Write the equation of an parabola with vertex (0,0) that has a focus (4,0) Since the focus is (4,0) you know that p=4 and the parabola has a horizontal axis of symmetry

2. Write the equation of an parabola with vertex (0,0) that has a focus (0, -1/2)

3. Write the equation of an parabola with vertex (0,0) that has a directrix y = -12 What is your Focus? (0, 12)

4. Write the equation of an parabola with vertex (0,0) that has a directrix x = 7/4 What is your Focus? (-7/4, 0)

5. Write the equation of an parabola with vertex (-4, -1) that has a focus (-4, 2) Find p

6. Write the equation of an parabola with vertex (1, 2) that has a focus (5, 2) Find p

7. Write the equation of an parabola with vertex (4, -1) that has a directrix y = 1