How to Write the Equation of a Parabola in Standard Form


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question 1 of 3

What is the vertex of this parabola?

(x - 3)^2 = 12(y - 4)

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What is the vertex of this parabola?

(y - 2)^2 = -8(x - 1)

2. Which parabola below has a vertex at (-3, 0)?

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About This Quiz & Worksheet

This combination of assessments will determine whether your familiarity with parabolas and their equations is up to date. In the quiz, you will solve for vertices, p-values and equations of parabolas in a number of practice problems.

Quiz & Worksheet Goals

These quiz questions will ask you to find:

  • Vertex of a parabola
  • Equation of a parabola given its vertex point
  • P given a vertex and focus
  • Equation of a parabola given vertex and focus

Skills Practiced

Students can showcase the following skills in these assessments:

  • Interpreting information - verify that you can read information regarding equations of parabolas and interpret it correctly
  • Problem solving - use acquired knowledge to solve for vertices of parabolas in practice problems
  • Critical thinking - apply relevant concepts to examine information about the value of p in a different light

Additional Learning

Make sure to review the associated lesson named How to Write the Equation of a Parabola in Standard Form for further information on this math subject. This lesson will cover the subsequent objectives:

  • Define key terms, such as parabola, vertex, focus and directrix
  • Solve practice problems given in the lesson involving parabolas and their equations
  • Explain how to write the equation for a parabola in standard form
  • Understand how parabolas relate to real life objects, including cell phones, television and ice cream