Finding the Equation of a Parabola from the Focus and Directrix


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question 1 of 3

Each point on the curve of a parabola is _____ to the focus and the directrix.

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1. A specific parabola is written as y = 2x^2 - 3x + 6. This equation is in _____

2. For a parabola given by y = 4(x - 3)(x - 4), the form of this equation is _____

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About This Quiz & Worksheet

Use this quiz and worksheet to test your knowledge on forming equations for a parabola. This resource will review the different equation forms related to parabolas and how to solve them for coordinates of the vertex.

Quiz & Worksheet Goals

This quiz and worksheet are provided to offer an assessment and review of your knowledge of:

  • How the focus and directix relate on a parabola
  • The names of different parabolic equation forms
  • Identifying the different forms
  • Solving for the coordinates of the vertex

Skills Practiced

  • Knowledge application - use your knowledge of forming equations from the focus and directix in order to answer questions about the forms
  • Distinguishing differences - identify the different forms of parabola equations and be able to define key differences
  • Problem solving - apply what you know of parabola equations to solve for coordinates of the vertex

Additional Learning

If you need to brush up your skills in more detail, read the accompanying lesson, Finding the Equation of a Parabola from the Focus and Directix. You'll review:

  • How the focus, directix and parabola relate
  • Parabola equations and their forms
  • How to correctly write the equations out
  • Additional tips and comments about writing equations