Transformations definitions Flashcards
Transformations definitions
You can tap to flip the card.
Control buttons has been changed to "navigation" mode.
1/15Skip to main content
Transformation Any change to a function's graph or equation that alters its position or shape, such as shifting, reflecting, or stretching. Reflection A flip of a graph over a specific axis, resulting in a mirror image and changing the sign of certain values. Shift A movement of a graph horizontally, vertically, or both, relocating every point without altering the graph's shape. Stretch An alteration that increases the distance between points on a graph, making it appear taller or wider. Compression A transformation that decreases the distance between points on a graph, making it appear shorter or narrower. Horizontal Shift A movement of a graph left or right, determined by changes inside the function's argument. Vertical Shift A movement of a graph up or down, determined by changes added outside the function. Horizontal Stretch A widening of a graph along the x-axis, caused by multiplying the input by a constant between 0 and 1. Vertical Stretch An elongation of a graph along the y-axis, caused by multiplying the output by a constant greater than 1. Horizontal Compression A narrowing of a graph along the x-axis, caused by multiplying the input by a constant greater than 1. Vertical Compression A flattening of a graph along the y-axis, caused by multiplying the output by a constant between 0 and 1. Domain The complete set of possible input values for a function, which may change after a transformation. Range The complete set of possible output values for a function, which can be altered by transformations. Function Notation A symbolic way to represent transformations, such as f(x-h)+k for shifts or cf(x) for stretches. Combination of Transformations The sequential application of multiple transformations to a function, affecting both its graph and equation.
5:25
