1. Writing Equations of Parabolas

2. 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

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

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

5. 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)

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

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

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