Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.6 - Rational Functions - 3.6 Exercises - Page 311: 95

Answer

(a) shift $y=1/x^2$ right 2 units. (b) shift $y=1/x^2$ left 1 unit, stretch vertically by a factor of 3, and then shift up 2 units. (c) Function $q(r)=\frac{-3(x^2-4x+4-4)}{x^2-4x+4}=-3+\frac{12}{x^2-4x+4}=-3+\frac{12}{(x-2)^2}$ shift $y=1/x^2$ right 2 units, stretch vertically by a factor of 12, and then shift down 3 units.

Work Step by Step

see above.
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