Parabolas - Parabolic Equations

Lesson: 

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Description: 

This worksheet contains problems where students must write the equation of a parabola and graph parabolas. Vocabulary includes focus of a parabola and directrix. Most problems are multiple-choice.

Number of Problems: 

0

Pages: 

0

Answer Key: 

No

Samples: 

1. Write an equation for a graph that is the set of all points in the plane that are equidistant from the point F(6, 0) and the line x = –6.

4. Write an equation of a parabola with a vertex at the origin and a focus at (–2, 0).

6. Write an equation of a parabola with a vertex at the origin and a focus at (7, 0).

7. A mirror with a parabolic cross section is used to collect sunlight on a pipe located at the focus of the mirror. The pipe is located 2 inches from the vertex of the mirror. Write an equation of the parabola that models the cross section of the mirror. Assume that the parabola opens upward.

8. Write an equation of a parabola with a vertex at the origin and a directrix at y = 5.

9. Use the graph to write an equation for the parabola.

11. In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 50 centimeters tall and 90 centimeters wide. Find the equation of the parabola.