Graphing Quadratics
If one term of an equation is squared, it forms a parabola.
  • If the x is the squared term and the coefficient (number) before the x is positive, the graph opens up. y = (x - h)²+k
  • If the x is the squared term and the coefficient (number) before the x is negative, the graph opens down. y = - (x - h)²+k
The vertex of the parabola is (h,k) y = (x - h)² + k

Check out the notes at

Practice Quadratic Transformations

Try solving Practice Graphing Quadratics - Before graphing, determine which way they open and what the vertex will be. Use the graphing calculator at Graphing Calculator