Transformations of f(x)

• What does f(x) +/- a do to the graph?

  if we add (+) the graph will move upwards, if we subtract (-) the graph moves down.
• What does f(x +/- a) to a graph?

  Do the opposite of what’s in the bracket. If it’s add (+) go in the negative direction. If it’s subtract (-) go in the positive direction.
• What does -f(x) do to the graph?

  Reflects it across the x-axis.
• What does f(-x) do to the graph?

  Reflects it across the y-axis.
• What does kf(x) do to the graph?

  Multiply all the y values by k.
• What does f(kx) do ?

  Divide the x value by k