Parabola Equation: Focus and Directrix

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Objective

I can derive the equation of a parabola based on its focus and directrix.

Part 1 of 3

Warm-up video

Unknown Channel · 5:00

We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

7 questions

1

Define a parabola in terms of its focus and directrix.

2

Explain the significance of the parameter 'p' in the equation of a parabola. What does it represent geometrically?

Part 3 of 3

Exit ticket

Quick comprehension check

A parabola has a focus at (0, 4) and a directrix at y = -4. Find the equation of the parabola. A parabola has a focus at (-2, 0) and a directrix at x = 2. Find the equation of the parabola. A parabola has a focus at (3, 2) and a directrix at y = -2. Find the equation of the parabola.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

  • Slides

    Ready to present

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