(a) Write an equation for a graph obtained by verticallystretching the graph of y = x2

Chapter 1, Problem 21

(choose chapter or problem)

(a) Write an equation for a graph obtained by verticallystretching the graph of y = x2 by a factor of 2, followedby a vertical upward shift of 1 unit. Sketch it.(b) What is the equation if the order of the transformations(stretching and shifting) in part (a) is interchanged?(c) Are the two graphs the same? Explain the effect ofreversing the order of transformations.

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