Chapter 6

QuadraticsChapter 5 Prentice Hall5.1/5.2 Graphing quadratic functionsQuadratic function: f(x) = ax + bx + c

Graph is a parabola

Quadratic TermLinear TermConstant Termax + bx + cy-intercept is c Where x=0Equation of the axis of symmetry: x-coordinate of the vertex:

ExampleConsider f(x) = x + 9 + 8xFind the y-intercept, equation of the axis of symmetry and the x-coordinate of the vertex.A=1, B= 8 and C=9Y int = 9X=-b/2aX=-4Maximum or Minimuma>0: opens up/minimuma 0;b - 4ac is a perfect square2 real, rational rootsb - 4ac > 0;b - 4ac not a perfect square2 real, irrational rootsb - 4ac = 01 real, rational rootb - 4ac < 02 complex roots

QUADRATIC EQUATIONSb2-4ac >0Two distinct real rootsb2-4ac=0Exactly one real root (actually a double root)b2-4ac