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Graphing Radical Equations using Shifts - Problem 3

Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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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