The graph is flipped "upside down."Īll three functions can be combined into a single equation.
Yes, the entire function is multiplied by -1: f(x) * -1 = - f(x). To reflect or flip across the x-axis, multiply everything by -1. To reflect across the y-axis, the x-coordinate is multiplied to get -x. Reflection - A rigid translation, the reflection is achieved by multiplying one coordinate by -1.As with the shift, scale will not affect the other coordinate, and both vertical and horizontal scalings can be shown as a single expression. Vertical scaling affects only the y-coordinates horizontal scaling affects the x-coordinates. Scaling can multiply or divide the coordinates (x, y), which changes the appearance and location of the graph.
In order to translate any of the common graphed functions, you need to recall and be fluent with the seven common functions themselves, presented here alphabetically because they are all equally important: