Transforming QF From General to Standard and Vice Versa

• General form of quadratic function


  y = ax^2 + bx + c
• Standard form of quadratic function


  y = a(x - h)^2 + k
• Vertex form of quadratic function


  y = a(x - h)^2 + k
• How to transform general form to standard/vertex form


  1. Group terms with x

  2. Factor out a

  3. Complete the square

  4. Express as perfect square trinomial

  5. Identify a, h, and k
• The general form of a quadratic function is y = ax^2 + bx + c
• The standard form of a quadratic function is y = a(x - h)^2 + k
• The vertex form of a quadratic function is y = a(x - h)^2 + k
• To transform from general form to standard/vertex form, you need to group the terms, factor out a, complete the square, and identify a, h, and k
• Expanding (x - 1)^2 - 4 gives x^2 - 2x - 3