Shortcut: Vertex formula

All in One Place

Everything you need for better grades in university, high school and elementary.

Learn with Ease

Made in Canada with help for all provincial curriculums, so you can study in confidence.

Instant and Unlimited Help

Get the best tips, walkthroughs, and practice questions.

0/6
?
Examples
Lessons
  1. Applying the "vertex formula" to find the vertex
    Find the vertex for the quadratic function y=2x212x+10y = 2{x^2} - 12x + 10
    1. 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=2x212x+10y = 2{x^2} - 12x + 10
      2. y=3x260x50y = - 3{x^2} - 60x - 50
      3. y=12x2+x52y = \frac{1}{2}{x^2} + x - \frac{5}{2}
      4. y=5xx2y = 5x - {x^2}
    2. Deriving the Vertex Formula
      Derive the vertex formula by completing the square:
      y=ax2+bx+cy=ax^2+bx+c
      :
      :
      (y+(b24ac)4a)=a(x+b2a)(y+\frac{(b^2-4ac)}{4a})=a(x+\frac{b}{2a})
      \therefore vertex: [b2a,(b24ac)4a][\frac{-b}{2a} ,\frac{-(b^2-4ac)}{4a} ]