Quadratic formula
-b+- root(b2-4ac)/2a
Two real roots
b2 - 4ac > 0
One real root
b2 - 4ac = 0
No real roots
b2 - 4ac < 0
Shape
a = positive
graph u shaped
a = negative
graph is n shaped
Y intercept
Substitute x=0 into equation
X intercept
Substitute y=0 into equation and solve
Vertex
Complete the square
Finding where lines intersect
Solve simultaneous equations
Co ordinates of the vertex
y = a(x-b)2 + c
Value of the x intercepts
y = a(x-b)(x-c)
Don’t know the vertex or x intercepts
y = ax2 - bx + c