Quadratic

  1. degree: even
    coefficient: positive

  2. 2 x intercepts

  3. 1 direction change
    +1=2

  4. Degree is at least 2

  5. x-intercepts are: -2, 2
    Written as factors: (x+2)(x-2)

  6. f(x)=a(x+2)(x-2)

  7. Plug in the point (0,-8) and solve for a
    -8=a(0+2)(0-2)
    -8=a(2)(-2)
    -8=-4a
    a=2

  8. The function of this graph is
    f(x)=2(x+2)(x-2)
    or
    f(x)=2x^2-8