Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 4 - Graphs of the Circular Functions - Section 4.1 Graphs of the Sine and Cosine Functions - 4.1 Exercises - Page 152: 56c


$C(x) = 0.04(x-1970)^2+0.6(x-1970)+330+7.5~sin~2\pi x$

Work Step by Step

$C(x) = 0.04x^2+0.6x+330+7.5~sin~2\pi x$ We would like to define a new function $C(x)$ that is translated in the positive x-direction by 1970 units. Thus, we need to replace each $x$ in the quadratic equation part of the original function with the term $(x-1970)$. $C(x) = 0.04(x-1970)^2+0.6(x-1970)+330+7.5~sin~2\pi x$
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