The horsepower H required to overcome wind drag on a particular automobile is given by H(x) = 0.00004636x3 where x is the speed of the car in miles per hour. (a) Use a graphing utility to graph the function. (b) Rewrite the horsepower function so that x represents the speed in kilometers per hour. [Find H(x/1.6).] Identify the type of transformation applied to the graph of the horsepower function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 1E
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The horsepower H required to overcome wind drag on a particular automobile is given by H(x) = 0.00004636x3 where x is the speed of the car in miles per hour.
(a) Use a graphing utility to graph the function.
(b) Rewrite the horsepower function so that x represents the speed in kilometers per hour. [Find H(x/1.6).] Identify the type of transformation applied to the graph of the horsepower function.

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