QF1-2

QF1-2

1. Vertex form f(x)=a(x-p)^2 +q A /= 0

   • Parameter A effects how narrow or wide the graph is, and the direction of the opening
   • Parameter P effects the movement of the graph left or right
   • Parameter Q effects the movement of the graph up or down
   • P=-b/2a
   • q=c-ap^2

2. Standard form y=ax^2 +bx +c

   • A effects the shape of the graph and whether it opens up or down
   • C is the Y intercept
   • B effects the position of the graph

3. Completing the square, (x+3)^2 = x^2+ 6x+9

   • x^2+ 6x+40 (x^2+6x+9)-9+40 =(x-3)^2 +31

4. When turning a problem into a quadratic function, try to make binomials if its applicable