Identify The Parent Function. Ernest Wolfe. ... Reflect Over X-Axis or Y-Axis. ... Shift (Translate) Vertically or Horizontally. ... Vertical and Horizontal Stretches/Compressions. ... Plug in a couple of your coordinates into the parent function to double check your work.
if the parent function, y=f(x) has a number added (y=f(x)+4) the graph will be translated up. If the parent function has a number subtracted, y=f(x)-4, the graph will be translated down. The image explains more simply, and there are more possible translations (shown in image)