How to Find the Vertex of a Quadratic Equation


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What is a vertex of a quadratic equation?

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1. How do we find the x-coordinate of the vertex of the quadratic equation y = ax2 + bx + c?

2. Once we have found the x-coordinate, x = -b / 2a, of the vertex of the quadratic equation, y = ax2 + bx + c, how do we find the y-coordinate of the vertex?

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About This Quiz & Worksheet

Test what you know about finding the vertices of quadratics with this worksheet/quiz. You'll be assessed on your grasp of what a vertex is and your ability to find various coordinates.

Quiz & Worksheet Goals

You'll also be tested on the following areas of study:

  • How to find the y-coordinate of a vertex
  • Finding the vertex of a quadratic equation by first getting the x-coordinate
  • How high a ball might go, if its height is expressed in a quadratic equation

Skills Practiced

  • Problem solving - use acquired knowledge to solve quadratic equation practice problems
  • Critical thinking - apply relevant concepts to examine information about finding vertices in a different light
  • Making connections - use understanding of the concept of finding vertices and how it connects the y-coordinate to the x-coordinate when solving

Additional Learning

Gain more insight into this specific area of mathematics with the lesson called How to Find the Vertex of a Quadratic Equation. The lesson will discuss the subsequent study points:

  • Steps to solving these equations
  • The shape of a parabola
  • Reaching solutions to these problems and how those solutions are applied in the real-world