horizontal shrink
a transformation that causes the graph of a function to shrink toward the y-axis when all the x-coordinates are multiplied by a factor a, where a > 1
Horizontal shrink is a geometric transformation that compresses or narrows a figure horizontally while leaving its vertical dimensions unchanged. It is also known as horizontal compression or horizontal scaling.
To achieve horizontal shrink or compression, each x-coordinate of a figure is multiplied by a constant value that is less than 1. This constant, known as the scale factor, indicates by what factor the figure is horizontally shrunk. The resulting figure will be narrower than the original one but will preserve its overall shape.
For example, if a figure has coordinates (2,1), (4,3), and (6,1), and we want to shrink it horizontally by a factor of 0.5, we would multiply each x-coordinate by 0.5:
(2*0.5, 1), (4*0.5, 3), (6*0.5, 1)
This gives us the new coordinates of (1,1), (2,3), and (3,1), respectively. The figure has been horizontally compressed by a factor of 0.5 while maintaining its vertical size and shape.
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