Mth141S22n - Sec. 2.2 Vertical and Horizontal Shifts of...

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Sec. 2.2 – Vertical and Horizontal Shifts of Graphs Transformation of functions ? “transform” means to change! Ex. A transformer out on the utility pole. The “transformer” toys you used to get in your Happy Meals would change from a semi-truck into a robot figure. A vertical translation or shift in a functions graph will occur if you add or subtract a value to the basic function as follows : f(x) + a , a>0 will cause the graph to shift up a units. Ex. f(x) = |x| g(x) = |x| + 3 f(x) - a , a>0 will cause the graph to shift down a units h(x) = |x| - 2 A horizontal translation or shift in a functions graph will occur if you add or subtract a value to the basic function as follows : f(x + a) , a>0 will cause the graph to shift left a units. Ex. f(x) = |x| g(x) = |x + 3| f(x - a) , a>0 will cause the graph to shift right a units h(x) = |x – 2| Combinations : f(x + a) + b shift left a units, and up b units, or reverse order also f(x – a) + b shift right a units, and up b units, “
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Mth141S22n - Sec. 2.2 Vertical and Horizontal Shifts of...

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