Thursday: Translating Absolute Value Functions

Knowing the base equation of absolute value is y = |x|, we can alter this function to change the slope, direction, or vertex of the graph. If the translation is horizontal, we put the number of units inside the absolute value and flip the sign. For a vertical translation: put the number of units outside the absolute value and keep the sign. Reflections are marked by a - in front of the slope, and shifts in the slope are placed in front of the x in the absolute value function.