Shortcut: Vertex formula

Lessons

1. Applying the "vertex formula" to find the vertex
   Find the vertex for the quadratic function $y = 2{x^2} - 12x + 10$
2. Converting general form into vertex form by applying the vertex formula
   Convert each quadratic function from general form to vertex form by using the vertex formula.
   1. $y = 2{x^2} - 12x + 10$
   2. $y = - 3{x^2} - 60x - 50$
   3. $y = \frac{1}{2}{x^2} + x - \frac{5}{2}$
   4. $y = 5x - {x^2}$
3. Deriving the Vertex Formula
   Derive the vertex formula by completing the square:
   $y=ax^2+bx+c$
   :
   :
   $(y+\frac{(b^2-4ac)}{4a})=a(x+\frac{b}{2a})$
   $\therefore$ vertex: $[\frac{-b}{2a} ,\frac{-(b^2-4ac)}{4a} ]$