Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.2 Representing Functions - 1.2 Exercises: 10

Answer

Start with the graph of $y=x^2$. Translate it leftwards by $3$ and stretch it vertically by the factor of $4$ and then translate it upwards by $6$.

Work Step by Step

Start with the graph of $y=x^2$. 1) Translate the graph leftwards by $3$ to get the graph of $y=(x+3)^2$; 2) Stretch the previous graph vertically by the factor of $4$ to get the graph of $y=4(x+3)^2$; 3) Translate the previous graph upwards by $6$ to get the graph of $y=4(x+3)^2+6$.
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