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A stretch in which a plane figure is distorted vertically. See also Vertical Stretch of 2, Horizontal Shrink of \(\displaystyle \frac{1}{3}\), Shift left 2

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y = f(x) y = f ( x) y= f(x 2) y = f ( x 2) horizontal stretch; x x -values are doubled; points get farther away. from y y -axis. vertical stretching/shrinking changes the y y -values of points;

Vertical Stretches and Compressions When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1

Vertical Shift If \(y=f(x)\) then the vertical shift is caused by adding a constant outside the function, \(f(x)\). Adding 10, like this \(y=f(x)+10\) causes a movement of \(+10\) in the y-axis.

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Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1. This results in the graph being pulled