Detailed description

  1. f(x) = x − a, straight line graph, one positive x-intercept and one negative y-intercept.
  2. f(x) = (x − a) squared, parabola, turning point at (a,0), one positive y-intercept.
  3. f(x) = (x − a) cubed, graph of cubic function, point of inflexion at x = a, 1 positive x-intercept, 1 negative y-intercept.