Standard Form

By: Paramveer Teji

Learning Goals

In this unit you will learn how to solve equations using the standard form method. you will learn how to complete the squares, and how to use the quadratic formula to find the vertex and x-intercepts. You also will learn how to find the discriminant, which tells you how many solutions the quadratic equation will have without having you use the whole formula.

Summary Of This Unit

You Will Learn...

How to Complete The Squares, and how to get the vertex form, how to use the Quadratic Formula, to get the x-intercepts, and how to find the discriminant, which show how many solutions there are in each equation.

Quadratic Formula And Completing The Squares examples

Completing the square:

  • Y= X^2 + 6x + 2
  • Y= (X^2 + 6x) + 2
  • Y= (X^2 + 6 + 9 - 9) + 2
  • Y= (X + 6x + 9) + 2 - 9
  • Y= (X + 3)^2 - 7

With this solved equation you will be able to find the Vertex and the Min/Max Value, where in this case it would (-3, -7) for the vertex and -7 for the Max Value.

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With this solved equation you are able to find the x-intercepts, which in this case are 0.6 and 1, and with these x-intercepts you will be able to graph them if needed.

Word Problem by Completing The Squares

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Standard Form Video

❖ Completing the Square - Solving Quadratic Equations ❖