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Graphing Radical Equations using Shifts - Problem 3


If you know the "parent" graph and some key features about the graph of y = root (x), then you can use transformation rules to sketch other square root functions. Here we look at horizontal shifts- that is, how a value added or subtracted inside the root tells us to move the key points side to side. Horizontal shifts happen in the "counter-intuitive" direction- that is, a number added to x under the root means shift left, whereas a number subtracted from x means a shift right. We also consider what this does to our domain (inputs) and range (outputs).

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