Graph Reflections & Transformations:-Reflections and Translations

shifts the graph up a units for positive values of a, and shifts down for negative values of a.

shifts the graph LEFT for positive values of a, and shifts RIGHT for negative values of a.

reflects graph in x-axis

reflects graph in y-axis

Graph Stretches & Compression:-Stretches and Compressions

scales the graph vertically. i.e. stretches if k>1 and compresses if k<1

scales the graph horizontally. i.e compresses if k>1 and stretches if k<1

Composite functions example:-Composition of Functions

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