Converting from general to vertex form by completing the square

Intros
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Lessons
  1. Introduction to completing the square using the "6-step approach": y=2x2−12x+10y=2x^2-12x+10
Examples
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Lessons
  1. Completing the square with NO COEFFICIENT in front of the x2x^2 term
    Convert a quadratic function from general form to vertex form by completing the square.
    y=x2+3x−1y=x^2+3x-1
  2. Completing the square with a NEGATIVE COEFFICIENT in front of the x2x^2 term
    Convert a quadratic function from general form to vertex form by completing the square.
    y=−3x2−60x−50y=-3x^2-60x-50
  3. Completing the square with a RATIONAL COEFFICIENT in front of the x2x^2 term
    Convert a quadratic function from general form to vertex form by completing the square.
    y=12x2+x−52y= \frac{1}{2}x^2+x- \frac{5}{2}
  4. Completing the square with NO CONSTANT TERM
    Convert a quadratic function from general form to vertex form by completing the square.
    y=5x−x2y=5x-x^2